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Homology of CW-complexes

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Singular Homology Theory

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 70))

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Abstract

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.

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Bibliography for Chapter IV

  1. N. Bourbaki, Topologie Générale, Hermann et Cie., Paris 1947, Chapters VI and VIII.

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  7. W. S Massey, Homology and Cohomology Theory: An Approach Based onAlexander-Spanier Cochains, Marcel Dekker, Inc., New York, 1978, Chapter 5.

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© 1980 Springer-Verlag New York Inc.

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Massey, W.S. (1980). Homology of CW-complexes. In: Singular Homology Theory. Graduate Texts in Mathematics, vol 70. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-9231-6_4

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  • DOI: https://doi.org/10.1007/978-1-4684-9231-6_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4684-9233-0

  • Online ISBN: 978-1-4684-9231-6

  • eBook Packages: Springer Book Archive

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