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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Finite homological dimension of $ {\rm BP}\sb\ast (X)$ for infinite complexes


Author: Peter S. Landweber
Journal: Proc. Amer. Math. Soc. 84 (1982), 420-424
MSC: Primary 55N22; Secondary 55N35
MathSciNet review: 640245
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Abstract: The main result proved here is that $ {\text{B}}{{\text{P}}_* }(EG{ \times _G}X)$ has finite homological dimension when $ G = {{\mathbf{Z}}_p}$ and $ X$ is a finite $ G{\text{ - CW}}$-complex. The argument uses $ {\text{B}}{{\text{P}}_*}{\text{BP}}$-comodules.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0640245-8
PII: S 0002-9939(1982)0640245-8
Article copyright: © Copyright 1982 American Mathematical Society