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Results tagged with diffeology
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user 11885
10
votes
Applications of diffeological spaces to ordinary differential geometry
I would add to the previous list of "applications" of diffeology in ordinary differential geometry the theorem about Homotopic invariance of De Rham cohomology (§6.88 of Diffeology). … By the way the Chain-Homotopy operator is used also in Symplectic Diffeology for the definition and the generalisation of The Moment Map in Diffeology. …
5
votes
Reference for a path groupoid being a diffeological groupoid
Its construction is contained in Chapter V of the book "Diffeology", exactly the paragraph titled "Poincaré Groupoid and Homotopy Groups" (beginning p.112). …
- 2,289
5
votes
Advantages of diffeological spaces over general sheaves
If you are a geometer: diffeology.
I will try to explain what I mean. I may however still modify the following. … This is why the sheaf algebraic approach to diffeology is a contrario of its geometric approach, even if a diffeological space is a sheaf of plots. …
- 2,289
0
votes
Is there a notion of a complex/analytic diffeological space?
Slides from his talk at the last conference on diffeology and differential homotopy are here. …
- 2,289