Spaces of multiplicative maps between highly structured ring spectra

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dc.creatorLazarev, A.
dc.date2002-09-27
dc.date.accessioned2026-07-07T04:51:19Z
dc.date.available2026-07-07T04:51:19Z
dc.descriptionWe uncover a somewhat surprising connection between spaces of multiplicative maps between $A_\infty$-ring spectra and topological Hochschild cohomology. As a consequence we show that such spaces become infinite loop spaces after looping only once. We also prove that any multiplicative cohomology operation in complex cobordisms theory $MU$ canonically lifts to an $A_\infty$-map $MU\to MU$. This implies, in particular, that the Brown-Peterson spectrum $BP$ splits off $MU$ as an $A_\infty$-ring spectrum.
dc.identifierhttps://arxiv.org/abs/math/0209388
dc.identifierhttp://arxiv.org/abs/math/0209388
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65106
dc.subjectAlgebraic Topology
dc.subjectK-Theory and Homology
dc.subject55P42, 55N20, 55S37
dc.titleSpaces of multiplicative maps between highly structured ring spectra
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