The Morava K-theory of spaces related to BO

摘要

We calculate the (p = 2) Morava K-theory of all of the spaces in the connective Omega spectra for Z x BO, BO, BSO, and BSpin. This leads to a description of the (p = 2) Brown-Peterson cohomology of many of these spaces. Of particular interest is the space BO<8> and its relationship to BSpin. (C) 2003 Elsevier Inc. All rights reserved.