A note on homotopy types of connected components of Map(S 4, BSU(2))

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Abstract

Gottlieb has shown that connected components of Map(S 4, BSU(2)) are the classifying spaces of gauge groups of principal SU(2)-bundles over S 4. Tsukuda has investigated the homotopy types of connected components of Map(S 4, BSU(2)). 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 ε i defined in Tsukuda's paper. We apply this to classification problem of gauge groups as A n-spaces.

Original languageEnglish
Pages (from-to)826-832
Number of pages7
JournalJournal of Pure and Applied Algebra
Volume216
Issue number4
DOIs
Publication statusPublished - Apr 1 2012
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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