Homology, Homotopy and Applications

Volume 10 (2008)

Number 3

Proceedings of a Conference in Honor of Douglas C. Ravenel and W. Stephen Wilson

The BP-theory of 2-fold products of real projective spaces

Pages: 181 – 192

DOI: http://dx.doi.org/10.4310/HHA.2008.v10.n3.a9

Authors

Jesús González (Departamento de Matemáticas, Centro de Investigación y de Estudios Avanzados del IPN, México City, México)

W. Stephen Wilson (Department of Mathematics, Johns Hopkins University, Baltimore, Maryland, U.S.A.)

Abstract

We study the Brown-Peterson (co)homology of a product of two real projective spaces via the Landweber short exact sequence. The image of the tensor product is well understood. Our contribution is to understand those elements not in the tensor product and to show how they behave under maps. The results are partially extended to the case where one of the factors is replaced by a $2^e$-torsion lens space.

Keywords

Brown-Peterson homology; real projective spaces

2010 Mathematics Subject Classification

55N22, 55R40

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