The \(BP\)-theory of 2-fold products of real projective spaces. (English) Zbl 1162.55005
The authors consider the Brown-Peterson homology and cohomology of a product of two real projective spaces using the Landweber short exact sequence. In particular, they show what happens to those elements not in the tensor product. They generalize some of the results to the case where one of the factors is a lens space.
Reviewer: C. S. Hoo (Edmonton)
MSC:
55N22 | Bordism and cobordism theories and formal group laws in algebraic topology |
55R40 | Homology of classifying spaces and characteristic classes in algebraic topology |