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

作者：Tsutaya Mitsunobu^*

来源：Journal of Pure and Applied Algebra, 2012, 216(4): 826-832.

DOI：10.1016/j.jpaa.2011.10.020

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 epsilon(i) defined in Tsukuda's paper. We apply this to classification problem of gauge groups as A(n)-spaces.

• 出版日期2012-4