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This tag is used if a reference is needed in a paper or textbook on a specific result.

5 votes

Reference for a path groupoid being a diffeological groupoid

If you mean the "Poincaré groupoid" made by fixed-end homotopy classes of smooth paths of a diffeological space, this is a honest diffeological groupoid. Its construction is contained in Chapter V of …
Patrick I-Z's user avatar
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2 votes

De Rham theorem for differentiable spaces

I discover this question now, I would add some words to Konrad's answer. Actually there is a spectral sequence (as usual, in these cases, that means almost nothing) between the 2 cohomologies for diff …
Patrick I-Z's user avatar
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2 votes

Dimensions of orbit spaces

There is a finer approach to the dimension of the quotient when the action of $G$ on $M$ doesn't define a fibration, but has singular orbits. You'll find it here. Of course for the principal orbit you …
Patrick I-Z's user avatar
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4 votes

need a reference (topological manifolds)

Fuks, D. B.; Rokhlin, V. A. Beginner's course in topology. Geometric chapters. Springer Series in Soviet Mathematics. Springer-Verlag, Berlin-New York, 1984. For dim 1 and dim 2 manifolds.
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