Abstract
It is often possible to decompose a space X whose homology one wants to compute into simple pieces whose homology properties are known, and thereby deduce information about HX. An instructive example is the decomposition of a suspension into two cones (III, 8.16, example 3). In this section we discuss a general class of decompositions, “cellular” ones, and show how they can be used to simplify the computation of HX. The most important examples of cellular decompositions are CW-decompositions which will be studied in the succeeding sections.
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© 1972 Springer-Verlag Berlin Heidelberg
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Dold, A. (1972). Cellular Decomposition and Cellular Homology. In: Lectures on Algebraic Topology. Die Grundlehren der mathematischen Wissenschaften, vol 200. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00756-3_5
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DOI: https://doi.org/10.1007/978-3-662-00756-3_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-00758-7
Online ISBN: 978-3-662-00756-3
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