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Generalized Eilenberg–Zilber Type Theorem and its Equivariant Applications

✍ Scribed by Marek Golasiński; Daciberg Lima Gonçalves


Publisher
Elsevier Science
Year
1999
Tongue
French
Weight
112 KB
Volume
123
Category
Article
ISSN
0007-4497

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✦ Synopsis


We state the Eilenberg-Zilber type theorem for the product of two small categories and consider the Bredon homology of an equivariant space with local coefficients in the light of homologies of small categories. Then, in particular, an exterior product, Künneth formula and cap-product for the Bredon Homology of equivariant spaces with local coefficients are established.

we also use exactly the same methods as above. 2

Observe that explicit formulas for Φ * and Ψ * can also be found in a routine way (see, e.g., [5, Chapter VI] and [10, Chapter VIII]).


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