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A Concise Course in Algebraic Topology J. P. May
www.math.uchicago.edu1. The Euler characteristic of compact manifolds 165 2. The index of compact oriented manifolds 166 3. Manifolds with boundary 168 4. Poincar´e duality for manifolds with boundary 169 5. The index of manifolds that are boundaries 171 Chapter 22. Homology, cohomology, and K(π,n)s 175 1. K(π,n)s and homology 175 2. K(π,n)s and cohomology 177 3.
A Concise Course in Algebraic Topology J. P. May
www.math.uchicago.edu5. Mayer-Vietoris sequences 112 6. The homology of colimits 114 Chapter 15. The Hurewicz and uniqueness theorems 117 1. The Hurewicz theorem 117 2. The uniqueness of the homology of CW complexes 119 Chapter 16. Singular homology theory 123 1. The singular chain complex 123 2. Geometric realization 124 3. Proofs of the theorems 125 4.