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Homotopy theory, homological algebra, algebraic treatments of manifolds.

8 votes
1 answer
516 views

fibrations of classifying spaces - Leray Hirsch Theorem converse

Let $G$ be a topological group and let $H$ be a closed subgroup. Assume that $G \rightarrow G/H$ is a principal $H$-bundle. We have a fibration of classyifing spaces $$G/H \rightarrow BH \rightarrow …
C. Zhihao's user avatar
  • 283
3 votes
1 answer
257 views

non-simple local coefficient system on a fibration of classifying spaces

Long story short; I posted in MSE https://math.stackexchange.com/questions/2500745/local-system-of-coefficients-on-a-fibration-of-classyfing-spaces It is well known that if $G$ is a lie grou …
C. Zhihao's user avatar
  • 283