000 | 01959 a2200169 4500 | ||
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999 |
_c209022 _d209022 |
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020 | _a9780521795401 | ||
020 | _a9780521541862 | ||
040 | _cCUS | ||
082 |
_a514.2 _bHAT/A |
||
100 |
_aHatcher, Allen _99152 |
||
245 |
_aAlgebraic topology/ _cAllen Hatcher |
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260 |
_bCambridge University Press, _aCambridge: _c2002. |
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300 |
_axii, 544 p. : _bill. ; _c26 cm. |
||
505 | _aSome Underlying Geometric Notions -- Homotopy and Homotopy Type -- Cell Complexes -- Operations on Spaces -- Two Criteria for Homotopy Equivalence -- The Homotopy Extension Property -- The Fundamental Group -- Basic Constructions -- Paths and Homotopy -- The Fundamental Group of the Circle -- Induced Homomorphisms -- Van Kampen's Theorem -- Free Products of Groups -- The van Kampen Theorem -- Applications to Cell Complexes -- Covering Spaces -- Lifting Properties -- The Classification of Covering Spaces -- Deck Transformations and Group Actions -- Graphs and Free Groups -- K(G,1) Spaces and Graphs of Groups -- Homology -- Simplicial and Singular Homology -- [Delta]-Complexes -- Simplicial Homology -- Singular Homology -- Homotopy Invariance -- Exact Sequences and Excision -- The Equivalence of Simplicial and Singular Homology -- Computations and Applications -- Degree -- Cellular Homology -- Mayer-Vietoris Sequences -- Homology with Coefficients -- The Formal Viewpoint -- Axioms for Homology -- Categories and Functors -- Homology and Fundamental Group -- Classical Applications -- Simplicial Approximation -- Cohomology -- Cohomology Groups -- The Universal Coefficient Theorem -- Cohomology of Spaces -- Cup Product -- The Cohomology Ring -- A Kunneth Formula -- Spaces with Polynomial Cohomology -- Poincare Duality -- Orientations and Homology -- The Duality Theorem -- Connection with Cup Product -- Other Forms of Duality -- Universal Coefficients for Homology -- The General Kunneth Formula. | ||
650 |
_aAlgebraic topology _94203 |
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942 |
_cWB16 _011 |