On fibrations related to real spectra

dc.creatorKitchloo, Nitu
dc.creatorWilson, W Stephen
dc.date2009-03-26
dc.date.accessioned2026-07-07T12:57:05Z
dc.date.available2026-07-07T12:57:05Z
dc.descriptionWe consider real spectra, collections of Z/(2)-spaces indexed over Z oplus Z alpha with compatibility conditions. We produce fibrations connecting the homotopy fixed points and the spaces in these spectra. We also evaluate the map which is the analogue of the forgetful functor from complex to reals composed with complexification. Our first fibration is used to connect the real 2^{n+2}(2^n-1)-periodic Johnson--Wilson spectrum ER(n) to the usual 2(2^n-1)-periodic Johnson--Wilson spectrum, E(n). Our main result is the fibration Sigma^{lambda(n)} ER(n) --> ER(n) --> E(n)$, where lambda(n) = 2^{2n+1}-2^{n+2}+1.
dc.descriptionThis is the version published by Geometry & Topology Monographs on 27 January 2007
dc.identifierhttps://arxiv.org/abs/0903.4602
dc.identifierhttp://arxiv.org/abs/0903.4602
dc.identifierGeom. Topol. Monogr. 10 (2007) 237-244
dc.identifierdoi:10.2140/gtm.2007.10.237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224805
dc.subjectAlgebraic Topology
dc.subject55N20, 55Q51, 55R45
dc.titleOn fibrations related to real spectra
dc.typetext

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