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Homology of CW-Complexes

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Part of the book series: Graduate Texts in Mathematics ((GTM,volume 127))

Abstract

The purpose of this chapter is to develop a systematic procedure for determining the homology groups of a ceetain 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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References

  1. N. Bourbaki, General Topology, Part 2, Addison-Wesley, Reading, Mass., 1966.

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  6. W. S. Massey, Algebraic Topology: An Introduction, Springer-Verlag, New York, 1977, pp. 215–217.

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

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  8. R. Brown, Elements of Modern Topology, McGraw-Hill Co., New York, 1968. Chapter 5.

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  10. J. H. C. Whitehead, Combinatorial homotopy I, Bull Am. Math. Soc. 55 (1949), 213–245.

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© 1991 Springer Science+Business Media, LLC

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Massey, W.S. (1991). Homology of CW-Complexes. In: A Basic Course in Algebraic Topology. Graduate Texts in Mathematics, vol 127. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-9063-4_9

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