Abstract
This chapter states and proves the main result about the singular homology of a CW complex, the CW homology theorem. This result states that the homology of a CW complex can be computed from a chain complex whose chain groups have a generator for each cell and whose boundary map is determined from topological information about the attaching maps of the cells. The chapter finishes with some simple examples showing how to use the main result to make computations.
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© 2013 Springer Science+Business Media New York
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Griffiths, P., Morgan, J. (2013). CW Homology Theorem. In: Rational Homotopy Theory and Differential Forms. Progress in Mathematics, vol 16. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4614-8468-4_3
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DOI: https://doi.org/10.1007/978-1-4614-8468-4_3
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Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4614-8467-7
Online ISBN: 978-1-4614-8468-4
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