000			01959 a2200169 4500
999			_c209022 _d209022
020			_a9780521795401
020			_a9780521541862
040			_cCUS
082			_a514.2 _bHAT/A
100			_aHatcher, Allen _99152
245			_aAlgebraic topology/ _cAllen Hatcher
260			_bCambridge University Press, _aCambridge: _c2002.
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
942			_cWB16 _011