In this chapter we introduce a homology theory which agrees with the cellular homology theory of Chap. 2 on finite CW complexes, but which is a more sensitive detector of topological properties of infinite CW complexes having locally finite type. This new homology is not a homotopy invariant but it is a proper or CW-proper homotopy invariant in appropriate contexts. The “new homology modulo the old homology” defines homology at the end of a CW complex.
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(2008). Locally Finite Homology. In: Topological Methods in Group Theory. Graduate Texts in Mathematics, vol 243. Springer, New York, NY. https://doi.org/10.1007/978-0-387-74614-2_11
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DOI: https://doi.org/10.1007/978-0-387-74614-2_11
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-74611-1
Online ISBN: 978-0-387-74614-2
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