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20200709140105.0 |
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111117s2007 njua ob 001 0 eng d |
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DG1 |
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eng |
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700433490 |
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763160972 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781118031582 |
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(electronic bk.) |
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111803158X |
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(electronic bk.) |
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9781118030585 |
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(electronic bk.) |
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1118030583 |
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(electronic bk.) |
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0470096055 |
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9780470096055 |
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1118030583 |
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9780470090655 |
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0470090650 |
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9780470090657 |
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000049065157 |
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(OCoLC)761319789 |
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(OCoLC)700433490 |
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(OCoLC)763160972 |
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10.1002/9781118031582 |
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Wiley InterScience |
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http://www3.interscience.wiley.com |
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dlr |
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QA612 |
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.S55 2007 |
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MAT |
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038000 |
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bisacsh |
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514/.2 |
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22 |
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31.60 |
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bcl |
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SK 280 |
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rvk |
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MAIN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Shick, Paul Louis, |
| 245 10 - TITLE STATEMENT |
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| Title |
Topology : |
| Remainder of title |
point-set and geometric / |
| Statement of responsibility, etc |
Paul L. Shick. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource (xiii, 271 pages) : |
| Other physical details |
illustrations. |
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| Formatted contents note |
Front Matter -- Introduction: Intuitive Topology -- Background on Sets and Functions -- Topological Spaces -- More on Open and Closed Sets and Continuous Functions -- New Spaces from Old -- Connected Spaces -- Compact Spaces -- Separation Axioms -- Metric Spaces -- The Classification of Surfaces -- Fundamental Groups and Covering Spaces -- References -- Index -- Pure and Applied Mathematics. |
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| Type of reproduction |
Electronic reproduction. |
| Place of reproduction |
[S.l.] : |
| Agency responsible for reproduction |
HathiTrust Digital Library, |
| Date of reproduction |
2011. |
| 650 #0 - |
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| Topical term or geographic name as entry element |
Algebraic topology. |
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| Topical term or geographic name as entry element |
Point set theory. |
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| Topical term or geographic name as entry element |
Topologie algébrique. |
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| Topical term or geographic name as entry element |
Ensembles de points (Mathématiques) |
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| Topical term or geographic name as entry element |
MATHEMATICS |
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| Topical term or geographic name as entry element |
Algebraic topology. |
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| Topical term or geographic name as entry element |
Point set theory. |
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| Topical term or geographic name as entry element |
Topologie. |
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| Topical term or geographic name as entry element |
Ruimten (wiskunde) |
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| Topical term or geographic name as entry element |
Topologie. |
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| Topical term or geographic name as entry element |
Algebraische Topologie. |
| 856 40 - |
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| Uniform Resource Identifier |
https://doi.org/10.1002/9781118031582 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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1956- |
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Hoboken, N.J. : |
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Wiley-Interscience, |
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[2007] |
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©2007 |
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text |
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txt |
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rdacontent |
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computer |
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c |
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rdamedia |
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online resource |
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cr |
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rdacarrier |
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Pure and applied mathematics |
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Includes bibliographical references (pages 263-264) and index. |
| 505 00 - |
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foreword -- |
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Acknowledgments -- |
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1. |
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Introduction : Intuitive topology -- |
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1.1. |
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Introduction : intuitive topology -- |
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2. |
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Background on sets and functions -- |
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2.1. |
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Sets -- |
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2.2. |
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Functions -- |
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2.3. |
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Equivalence relations -- |
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2.4. |
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Induction -- |
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2.5. |
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Cardinal numbers -- |
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2.6. |
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Groups -- |
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3. |
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Topological spaces -- |
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3.1. |
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Introduction -- |
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3.2. |
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Definitions and examples -- |
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3.3. |
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Basics on open and closed sets -- |
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3.4. |
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The subspace topology -- |
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3.5. |
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Continuous functions -- |
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4. |
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More on open and closed sets and continuous functions -- |
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4.1. |
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Introduction -- |
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4.2. |
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Basis for a topology -- |
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4.3. |
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Limit points -- |
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4.4. |
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Interior, boundary and closure -- |
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4.5. |
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More on continuity -- |
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5. |
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New spaces from old -- |
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5.1. |
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Introduction -- |
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5.2. |
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Product spaces -- |
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5.3. |
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Infinite product spaces (optional) -- |
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5.4. |
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Quotient spaces -- |
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5.5. |
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Unions and wedges -- |
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6. |
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Connected spaces -- |
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6.1. |
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Introduction -- |
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6.2. |
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Definition, examples and properties -- |
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6.3. |
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Connectedness in the real line -- |
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6.4. |
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Path-connectedness -- |
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6.5. |
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Connectedness of unions and finite products -- |
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6.6. |
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Connnectedness of infinite products (optional) -- |
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7. |
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Compact spaces -- |
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7.1. |
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Introduction -- |
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7.2. |
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Definition, examples and properties -- |
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7.3. |
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Hausdorff spaces and compactness -- |
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7.4. |
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Compactness in the real line -- |
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7.5. |
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Compactness of products -- |
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7.6. |
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Finite intersection property (optional). |
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8. |
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Separation axioms -- |
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8.1. |
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Introduction -- |
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8.2. |
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Definition and examples -- |
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8.3. |
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Regular and normal spaces -- |
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8.4. |
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Separation axioms and compactness -- |
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9. |
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Metric spaces -- |
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9.1. |
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Introduction -- |
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9.2. |
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Definition and examples -- |
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9.3. |
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Properties of metric spaces -- |
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9.4. |
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Basics on sequences -- |
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10. |
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The classification of surfaces -- |
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10.1. |
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Introduction -- |
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10.2. |
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Surfaces and higher-dimensional manifolds -- |
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10.3. |
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Connected sums of surfaces -- |
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10.4. |
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The classification theorem -- |
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10.5. |
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Triangulations of surfaces -- |
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10.6. |
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Proof of the classification theorem -- |
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10.7. |
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Euler characteristics and uniqueness -- |
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11. |
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Fundamental groups and covering spaces -- |
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11. 1. |
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Introduction -- |
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11.2. |
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Homotopy of functions and paths -- |
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11.3. |
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An operation on paths -- |
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11.4. |
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The fundamental group -- |
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11.5. |
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Covering spaces -- |
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11.6. |
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Fundamental group of the circle and related spaces -- |
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11.7. |
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The fundamental groups of surfaces -- |
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References -- |
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Index. |
| 520 ## - |
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This text covers the essentials of point-set topology in a relatively terse presentation, with lots of examples and motivation along the way. Along with the standard point-set topology topics (connected spaces, compact spaces, separation axioms, and metric spaces), the author includes path-connectedness, and a chapter on constructing spaces from other spaces (including products, quotients, etc.). The text culminates in to two main chapters, each independent of the other: 1) The Classification Theorem for Compact, Connected Surfaces and 2) Fundamental Groups and Covering Spaces, with Applications giving the reader the choice of which subject best suits them. |
| 588 0# - |
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Print version record. |
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Use copy |
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Restrictions unspecified |
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star |
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MiAaHDL |
| 533 ## - |
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MiAaHDL |
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Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |
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http://purl.oclc.org/DLF/benchrepro0212 |
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MiAaHDL |
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digitized |
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2011 |
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HathiTrust Digital Library |
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committed to preserve |
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pda |
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MiAaHDL |
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Topology. |
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bisacsh |
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fast |
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(OCoLC)fst00804941 |
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fast |
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(OCoLC)fst01068109 |
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gtt |
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gtt |
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swd |
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swd |
| 655 #4 - |
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Electronic books. |
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Einführung. |
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swd |
| 776 08 - |
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Print version: |
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Shick, Paul Louis, 1956- |
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Topology. |
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Hoboken, N.J. : Wiley-Interscience, ©2007 |
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0470096055 |
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(DLC) 2006041362 |
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(OCoLC)71790194 |
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Pure and applied mathematics (John Wiley & Sons : Unnumbered) |
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Wiley Online Library |
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92 |
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DG1 |
