Questions tagged [classifying-spaces]
The classifying space BG of a group G classifies principal G-bundles, in that homotopy classes of maps [X, BG] are naturally identified with isomorphism classes of principal G-bundles P ⭢ X.
3 questions from the last 7 days
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Classifying spaces in $\operatorname{Ét}_{\operatorname{Spec}(\mathbb{Z}[x_{1},...,x_{n}])}$?
This is a follow-up to the question: Which objects in a topos such as the étale topos are "classifying spaces" of their fundamental groups?
Let $S=\operatorname{Spec}(R)$ be an open ...
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The topos of maps that are étale at a given finite set of primes: What are its classifying spaces?
This is part of a series of follow-up questions to: Which objects in a topos such as the étale topos are "classifying spaces" of their fundamental groups?. See also Classifying spaces in $\...
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Are two symplectic fibration(resp. Hamiltonian fibration) are smoothly fibration isomorphic if it holds continuously?
Let $P, P'$ be symplectic(resp. Hamiltonian) fibrations over a base $B$.
If two $P, P'$ are continuously symplectic fibration(resp. Hamiltonian fibration) isomorphic, then are they also smoothly ...
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