Classifying spaces and homotopy sets of axes of pairings-Reference-Cited by-同舟云学术

Classifying spaces and homotopy sets of axes of pairings

Published:1996 Issue:12 Volume:124 Page:3897-3903
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ishiguro Kenshi

Abstract

We consider the maps between classifying spaces of the form B K × B L → B G BK \times BL \rightarrow BG . The main theorem shows that if the restriction map on B L BL is a weak epimorphism, then the restriction on B K BK should factor through the classifying spaces of the center of the compact Lie group G G . An application implies that B G BG is an H–space (Hopf space) if and only if G G is abelian.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-12/S0002-9939-96-03497-1/S0002-9939-96-03497-1.pdf

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