Article ID Journal Published Year Pages File Type
4596987 Journal of Pure and Applied Algebra 2012 7 Pages PDF
Abstract

Gottlieb has shown that connected components of are the classifying spaces of gauge groups of principal -bundles over S4. Tsukuda has investigated the homotopy types of connected components of . But unfortunately, his proof is not complete for p=2. In this paper, we give a complete proof. Moreover, we investigate the further divisibility of ϵi defined in Tsukuda’s paper. We apply this to classification problem of gauge groups as An-spaces.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory