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Results tagged with sheaf-theory
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user 3473
For questions about sheaves on a topological space.
4
votes
Sheaves and bundles in differential geometry
In differential geometry one often also has connections on the bundles, e.g. the Levi-Cevita connection on the tangent bundle. Many concepts of differential geometry use connections, such as holonomy …
- 4,519
14
votes
Loop Spaces as Generalized Smooth spaces or as Infinite dimensional Manifolds?
Andrew is right! Let me amend my personal point of view, where generalized smooth manifolds are diffeological spaces.
The Fréchet manifold structure of LX agrees with the diffeology on LX in the foll …
- 4,519
9
votes
0
answers
304
views
Refinement of hypercovers by ordinary covers
I am asking for references and discussions of statements of the form
Every bounded hypercover can be refined by an ordinary cover
By "bounded" I mean "finite height". E.g., are there conditions for …
- 4,519
6
votes
Cartesian-closed full subcategory of locally ringed spaces containing smooth manifolds
Since you said that you are interested in infinite-dimensional manifolds such as mapping spaces, I wouldn't give up to use diffeological spaces. Diffeological spaces satisfy your requirements 0,1,2, b …
- 4,519