Finite homological dimension of 𝐵𝑃_{∗}(𝑋) for infinite complexes

Landweber, Peter S.

doi:10.1090/S0002-9939-1982-0640245-8

Finite homological dimension of $\textrm {BP}_\ast (X)$ for infinite complexes
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Proc. Amer. Math. Soc. 84 (1982), 420-424 Request permission

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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