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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.

0 votes

Is there a notion of a complex/analytic diffeological space?

Perhaps the general solution to your question can be found in "A theory of plots" by Atsushi Yamaguchi here? Slides from his talk at the last conference on diffeology and differential homotopy are her …
Patrick I-Z's user avatar
  • 2,289
5 votes

Advantages of diffeological spaces over general sheaves

If you are an algebraist: general sheaves. If you are a geometer: diffeology. I will try to explain what I mean. I may however still modify the following. The philosophy of the theory of sheaves is s …
Patrick I-Z's user avatar
  • 2,289
13 votes

Nice application of generalized smooth spaces

I think there are some theorems which are easier to prove in the diffeological framework, or as you say: for which the proof reveals more conceptual reasons. For example this one ? Proposition Let $X …