On Brown-Peterson cohomology of QX

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dc.creatorKashiwabara, Takuji
dc.date2001-03-01
dc.date.accessioned2026-07-07T04:40:53Z
dc.date.available2026-07-07T04:40:53Z
dc.descriptionWe compute the Brown-Peterson cohomology of QX, the free infinite loop-space on X, when X is a space whose Morava K-theory is flat over its BP-cohomology, in particular a space whose Morava K-theory is concentrated in even degrees. Our computation is in terms of a destabilization functor for BP-cohomology. We also show that for such X, the Morava K-homology of QX is a free commutative algebra.
dc.description32 pages, published version, abstract added in migration
dc.identifierhttps://arxiv.org/abs/math/0103236
dc.identifierhttp://arxiv.org/abs/math/0103236
dc.identifierAnnals of Math. (3), Vol. 153 (2001), no. 2, 297--328
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61187
dc.subjectAlgebraic Topology
dc.titleOn Brown-Peterson cohomology of QX
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