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Results tagged with infinite-dimensional-manifolds
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user 6666
7
votes
Does $\mathbb C\mathbb P^\infty$ have a group structure?
Let $G$ be a set. Let $EG$ be the realization of the nerve of the category that has $G$ as object set, with one morphism for each source and target. This is contractible if $G$ is not empty. If $G$ is …
- 55.9k
9
votes
Accepted
Are there examples of compact infinite dimensional manifolds?
The empty space is a manifold of any dimension.
No, seriously, let's assume that "manifold" means a Hausdorff space in which every point has an open neighborhood homeomorphic to an open subset of a t …
- 55.9k