Abstract
This section is a quick review of singular homology. Distinct from the usual approach, however, is our use of normalized singular chains, so as to arrange that the chains on a point vanish in positive degrees. We also take great care with the comparison between C *(X × Y) and, using the classical Alexander-Whitney and Eilenberg-Zilber equivalences because these have important associativity and compatibility properties on which we will subsequently need to relv.
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© 2001 Springer Science+Business Media New York
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Félix, Y., Halperin, S., Thomas, JC. (2001). Singular chains, homology and Eilenberg- MacLane spaces. In: Rational Homotopy Theory. Graduate Texts in Mathematics, vol 205. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-0105-9_5
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DOI: https://doi.org/10.1007/978-1-4613-0105-9_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6516-0
Online ISBN: 978-1-4613-0105-9
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