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Homotopy theory, homological algebra, algebraic treatments of manifolds.

8 votes
2 answers
1k views

Künneth theorem for fibred products

Given the fibred product of two manifolds over a base space $X\times_Y Z$ , is there an analogue of Künneth theorem that allows one to compute the cohomology of the fibred product?
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1 vote
1 answer
529 views

group extensions and principal bundles

Given an extension of groups, say $$0 \to H \stackrel{i}{\to} G \stackrel{q}{\to} G/H \to 0$$ and a $H$-principal fiber bundle $P \to X$, one can use induction to obtain bundles with fibers $G$ and $ …
far's user avatar
  • 154