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Results tagged with smooth-manifolds
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user 3473
Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].
9
votes
What is the classifying space of "G-bundles with connections"
There should be an answer to Theo's question in terms of universal connections, but I don't know it.
This universal connection is a connection on the universal principal $G$-bundle over $BG$, such th …
- 4,519
15
votes
0
answers
194
views
Are Lie groupoids just groupoids internal to smooth manifolds?
It seems to be common to say "no" - but is this true?
Two weeks ago I asked for a counterexample, but received no replies.
To give some background, let's recall that the difference between Lie groupoi …
- 4,519
7
votes
0
answers
117
views
Example of a groupoid internal to the category of smooth manifolds that is not a Lie groupoid
This questions is about the distinction between:
Lie groupoids: we require source and target maps to be submersions. This implies that the domain of the composition map, $G_1 \;{}_s\!\times_t G_1$, i …
- 4,519