An algebraic model for finite loop spaces

Carles Broto, Ran Levi, Bob Oliver

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

© 2014 Mathematical Sciences Publishers. All Rights reserved. A p–local compact group consists of a discrete p–toral group S, together with a fusion system and a linking system over S which define a classifying space having very nice homotopy properties. We prove here that if some finite regular cover of a space Y is the classifying space of a p–local compact group, then so is Y^p. Together with earlier results by Dwyer and Wilkerson and by the authors, this implies as a special case that a finite loop space determines a p–local compact group at each prime p.
Original languageEnglish
Pages (from-to)2915-2981
JournalAlgebraic and Geometric Topology
Volume14
Issue number5
DOIs
Publication statusPublished - 6 Nov 2014

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