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3 votes

On the homological dimension of a Borel construction

I think $f: M /\!\!/ G \to B\Gamma$ cannot be nontrivial on $\mathbb{Q}$-(co)homology in degrees beyond the dimension of $M$, because I think one can find a factorisation $$f_* : H_*(M /\!\!/ G ; \...
Oscar Randal-Williams's user avatar
1 vote
Accepted

Counterexamples concerning $\infty$-topoi with infinite homotopy dimension

To close this thread off, I will try to expand Lurie's helpful comment into an answer: First of all concerning examples of $\infty$-topoi that are locally, but not globally, of finite homotopical ...

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