000 06699cam a2200841Ka 4500
001 ocn761319789
003 OCoLC
005 20200709140105.0
006 m o d
007 cr cn|||||||||
008 111117s2007 njua ob 001 0 eng d
040 _aDG1
_beng
_epn
_cDG1
_dE7B
_dOCLCQ
_dYDXCP
_dREDDC
_dOCLCQ
_dDEBSZ
_dOCLCO
_dOCLCQ
_dN$T
_dOCLCF
_dOCLCE
_dDEBBG
_dOCLCQ
_dCOO
_dOCLCQ
019 _a700433490
_a763160972
020 _a9781118031582
_q(electronic bk.)
020 _a111803158X
_q(electronic bk.)
020 _a9781118030585
_q(electronic bk.)
020 _a1118030583
_q(electronic bk.)
020 _z0470096055
020 _z9780470096055
020 _z1118030583
020 _z9780470090655
020 _z0470090650
020 _z9780470090657
029 1 _aAU@
_b000049065157
029 1 _aDEBBG
_bBV041752256
029 1 _aDEBSZ
_b372705979
029 1 _aNLGGC
_b356866262
035 _a(OCoLC)761319789
_z(OCoLC)700433490
_z(OCoLC)763160972
037 _a10.1002/9781118031582
_bWiley InterScience
_nhttp://www3.interscience.wiley.com
042 _adlr
050 4 _aQA612
_b.S55 2007
072 7 _aMAT
_x038000
_2bisacsh
082 0 4 _a514/.2
_222
084 _a31.60
_2bcl
084 _aSK 280
_2rvk
049 _aMAIN
100 1 _aShick, Paul Louis,
_d1956-
245 1 0 _aTopology :
_bpoint-set and geometric /
_cPaul L. Shick.
264 1 _aHoboken, N.J. :
_bWiley-Interscience,
_c[2007]
264 4 _c©2007
300 _a1 online resource (xiii, 271 pages) :
_billustrations.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aPure and applied mathematics
505 0 _aFront 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.
504 _aIncludes bibliographical references (pages 263-264) and index.
505 0 0 _tforeword --
_tAcknowledgments --
_g1.
_tIntroduction : Intuitive topology --
_g1.1.
_tIntroduction : intuitive topology --
_g2.
_tBackground on sets and functions --
_g2.1.
_tSets --
_g2.2.
_tFunctions --
_g2.3.
_tEquivalence relations --
_g2.4.
_tInduction --
_g2.5.
_tCardinal numbers --
_g2.6.
_tGroups --
_g3.
_tTopological spaces --
_g3.1.
_tIntroduction --
_g3.2.
_tDefinitions and examples --
_g3.3.
_tBasics on open and closed sets --
_g3.4.
_tThe subspace topology --
_g3.5.
_tContinuous functions --
_g4.
_tMore on open and closed sets and continuous functions --
_g4.1.
_tIntroduction --
_g4.2.
_tBasis for a topology --
_g4.3.
_tLimit points --
_g4.4.
_tInterior, boundary and closure --
_g4.5.
_tMore on continuity --
_g5.
_tNew spaces from old --
_g5.1.
_tIntroduction --
_g5.2.
_tProduct spaces --
_g5.3.
_tInfinite product spaces (optional) --
_g5.4.
_tQuotient spaces --
_g5.5.
_tUnions and wedges --
_g6.
_tConnected spaces --
_g6.1.
_tIntroduction --
_g6.2.
_tDefinition, examples and properties --
_g6.3.
_tConnectedness in the real line --
_g6.4.
_tPath-connectedness --
_g6.5.
_tConnectedness of unions and finite products --
_g6.6.
_tConnnectedness of infinite products (optional) --
_g7.
_tCompact spaces --
_g7.1.
_tIntroduction --
_g7.2.
_tDefinition, examples and properties --
_g7.3.
_tHausdorff spaces and compactness --
_g7.4.
_tCompactness in the real line --
_g7.5.
_tCompactness of products --
_g7.6.
_tFinite intersection property (optional).
505 0 0 _g8.
_tSeparation axioms --
_g8.1.
_tIntroduction --
_g8.2.
_tDefinition and examples --
_g8.3.
_tRegular and normal spaces --
_g8.4.
_tSeparation axioms and compactness --
_g9.
_tMetric spaces --
_g9.1.
_tIntroduction --
_g9.2.
_tDefinition and examples --
_g9.3.
_tProperties of metric spaces --
_g9.4.
_tBasics on sequences --
_g10.
_tThe classification of surfaces --
_g10.1.
_tIntroduction --
_g10.2.
_tSurfaces and higher-dimensional manifolds --
_g10.3.
_tConnected sums of surfaces --
_g10.4.
_tThe classification theorem --
_g10.5.
_tTriangulations of surfaces --
_g10.6.
_tProof of the classification theorem --
_g10.7.
_tEuler characteristics and uniqueness --
_g11.
_tFundamental groups and covering spaces --
_g11. 1.
_tIntroduction --
_g11.2.
_tHomotopy of functions and paths --
_g11.3.
_tAn operation on paths --
_g11.4.
_tThe fundamental group --
_g11.5.
_tCovering spaces --
_g11.6.
_tFundamental group of the circle and related spaces --
_g11.7.
_tThe fundamental groups of surfaces --
_tReferences --
_tIndex.
520 _aThis 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 _aPrint version record.
506 _3Use copy
_fRestrictions unspecified
_2star
_5MiAaHDL
533 _aElectronic reproduction.
_b[S.l.] :
_cHathiTrust Digital Library,
_d2011.
_5MiAaHDL
538 _aMaster and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
_uhttp://purl.oclc.org/DLF/benchrepro0212
_5MiAaHDL
583 1 _adigitized
_c2011
_hHathiTrust Digital Library
_lcommitted to preserve
_2pda
_5MiAaHDL
650 0 _aAlgebraic topology.
650 0 _aPoint set theory.
650 6 _aTopologie algébrique.
650 6 _aEnsembles de points (Mathématiques)
650 7 _aMATHEMATICS
_xTopology.
_2bisacsh
650 7 _aAlgebraic topology.
_2fast
_0(OCoLC)fst00804941
650 7 _aPoint set theory.
_2fast
_0(OCoLC)fst01068109
650 1 7 _aTopologie.
_2gtt
650 1 7 _aRuimten (wiskunde)
_2gtt
650 0 7 _aTopologie.
_2swd
650 0 7 _aAlgebraische Topologie.
_2swd
655 4 _aElectronic books.
655 7 _aEinführung.
_2swd
776 0 8 _iPrint version:
_aShick, Paul Louis, 1956-
_tTopology.
_dHoboken, N.J. : Wiley-Interscience, ©2007
_z0470096055
_w(DLC) 2006041362
_w(OCoLC)71790194
830 0 _aPure and applied mathematics (John Wiley & Sons : Unnumbered)
856 4 0 _uhttps://doi.org/10.1002/9781118031582
_zWiley Online Library
994 _a92
_bDG1
999 _c523116
_d523051