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
• DOI: 10.1016/s0007-4497(99)00003-2

✦ 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]).