The complex oriented cohomology of extended powers
Suppose that \(p\) is an odd prime, \(G^{*}(-)\) an unreduced, multiplicative, complex oriented cohomology theory and \(X\) a space. Then an important problem is to describe the behaviour of \(G^{*}(-)\) on the extended power space \[ D_{p}(X) = EC_{p} \times_{C_{p}} X^{p} \] in terms of the behaviour of \(G^{*}(-)\) on \(X\). In the case of \(G=HF_{p}\), the mod \(p\) Eilenberg-Maclane theory, this was done by Nakaoka. The author obtains results on the associated spectral sequences in the case of Morava \(K\)-theories and the Landweber exact theories.
scientific article; zbMATH DE number 1199194
scientific article