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Classifying spaces and homotopy sets of axes of pairings |
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| Authors: | Kenshi Ishiguro |
| Institution: | Department of Mathematics, Fukuoka University, Fukuoka 814-80, Japan |
| Abstract: | We consider the maps between classifying spaces of the form  . The main theorem shows that if the restriction map on  is a weak epimorphism, then the restriction on  should factor through the classifying spaces of the center of the compact Lie group  . An application implies that  is an H-space (Hopf space) if and only if  is abelian. |
| Keywords: | Classifying space mapping spaces $p$-completion Lie groups weak epimorphism pairing |
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