Title of article :
THE K-THEORY LOCALIZATIONS AND v1-PERIODIC HOMOTOPY GROUPS OF H-SPACES
Author/Authors :
Bousfield، نويسنده , , A.K.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 1999
Pages :
26
From page :
1239
To page :
1264
Abstract :
We determine the mod p K-theory localizations and v1-periodic homotopy groups of finite H-spaces and of other spaces with torsion-free exterior p-adic K-cohomology algebras at an odd prime p. Our localization results generalize those of Mahowald and Thompson (Topology 1992, 31, 133–141) for odd-dimensional spheres. We construct our mod p K-theory localizations as homotopy fibers of unstable maps between infinite loop spaces, and similarly construct a wide array of new spaces having torsion-free exterior p-adic K-cohomology algebras with prescribed Adams operations. This leads, for example, to a classification of the odd mod p K-homology spheres.
Journal title :
Topology
Serial Year :
1999
Journal title :
Topology
Record number :
1544994
Link To Document :
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