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 ; \...
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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