An algebraic model for finite loop spaces

作者：Broto Carles^*; Levi Ran; Oliver Bob

来源：Algebraic and Geometric Topology, 2014, 14(5): 2915-2981.

DOI：10.2140/agt.2014.14.2915

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(Lambda). 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.

• 出版日期2014