A Nondesuspension Theorem for Stunted Real Projective Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Aug 1978Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 71, page 143 (issn: 0002-9939,

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Authors: Davis, Donald M.; Mahowald, Mark;

doi: 10.2307/2042237 , 10.1090/s0002-9939-1978-0474300-1

A Nondesuspension Theorem for Stunted Real Projective Spaces

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Abstract

For certain stunted projective spaces P and positive integers n, it is shown that P cannot be homotopy equivalent to the n-fold suspension of some other complex.

Keywords

K-Theory, Suspensions, Suspension, Steenrod Operations, Stunted Real Projective Space, \(K\)-theory operations and generalized cohomology operations in algebraic topology, Sectioning fiber spaces and bundles in algebraic topology, Loop spaces

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