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The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.

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Smooth map from manifold to good orbifold

I have the following question: there seem to be several inequivalent definitions of smooth maps between orbifolds, as indicated in Borzellino and Brunsden - The Stratified Structure of Spaces of Smoot …
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