Determination of the Homology Groups of Certain Spaces : Applications and Further Properties of Homology Theory
Part of the
Graduate Texts in Mathematics
book series (GTM, volume 70)
In this chapter, we will actually determine the homology groups of various spaces : the n-dimensional sphere, finite graphs, and compact 2-dimensional manifolds. We also use homology theory to prove some classical theorems of topology, most of which are due to L. E. J. Brouwer. In addition, we prove some more basic properties of homology groups.
KeywordsFundamental Group Regular Graph Homology Group Homology Class Algebraic Topology
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Bibliography for Chapter III
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E. Moise, Geometric Topology in Dimensions 2 and 3
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© Springer-Verlag New York Inc. 1980