Homology of CW-complexes
The purpose of this chapter is to develop a systematic procedure for determining the homology groups of a certain class of topological spaces. The class of topological spaces chosen consists of the CW-complexes of J. H. C. Whitehead. The procedure developed is a natural generalization and extension of the method used in the preceding chapter to determine the homology groups of graphs and compact 2-manifolds.
KeywordsExact Sequence Simplicial Complex Homology Group Homology Class Free Abelian Group
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Bibliography for Chapter IV
- W. S. Massey, Algebraic Topology: An Introduction, Springer-Verlag, New York, 1977, pp. 215–217.Google Scholar
- W. S Massey, Homology and Cohomology Theory: An Approach Based onAlexander-Spanier Cochains, Marcel Dekker, Inc., New York, 1978, Chapter 5.Google Scholar
- H. Seifert and W. Threlfall, Lehrbuch der Topologie, Chelsea Publishing Co., New York, 1947.Google Scholar