Localization and periodicity in unstable homotopy theory

Type: Article

Publication Date: 1994-01-01

Citations: 109

DOI: https://doi.org/10.1090/s0894-0347-1994-1257059-7

Abstract

P Y+-P Y+-P Y+-•••Vo VI V2with homotopy inverse limit equivalent to Y.This provides successive approximations to Y allowing "successively higher sorts of periodicity".For a finite p-torsion space ~-l of type n with "v n self-map" OJ: 1: d V n _ 1 -+ V n _ 1 ' the vn-periodic homotopy groups V;11l.(Y;~-l) may be constructed by inverting the action of OJ on 1l.(Y; V n _ 1 ).These groups, especially for

Locations

  • Journal of the American Mathematical Society - View - PDF

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