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Results tagged with orbifolds
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user 118688
3
votes
2
answers
313
views
Necessity/Motivation for generalised homomorpisms
I am reading Ieke Moerdijk's article "Orbifolds as Groupoids : an Introduction".
In that notes author defines a notion of generalized map between Lie groupoids. …
- 6,023
3
votes
1
answer
357
views
Proper and etale groupoid is locally a translation groupoid
I am reading Orbifolds as Groupoids: an Introduction by Ieke Moerdijk.
In page $8$ when explaining local charts, it says the following :
Let $\mathcal{G}$ be a Lie groupoid. … Reference given is Orbifolds, Sheaves and Groupoids by Ieke Moerdijk and D. A. Pronk. …
- 6,023
1
vote
0
answers
210
views
Idea behind definition of classifying space over an orbifold
Today I was explaining to some one the notion of $\mathcal{G}$ spaces, covering spaces over orbifolds from Orbifolds as Groupoids: an Introduction. … Orbifolds are something more than just a topological space and less than a smooth manifold. …
- 6,023
0
votes
2
answers
810
views
Why study orbifolds? [closed]
Why study orbifolds?
I study orbifolds as locally compact Hausdorff spaces $X$ having an orbifold structure, i.e., there exists an orbifold groupoid (proper foliatio. … Edit : Wikipedia page does not say anything about groupoid way of looking at orbifolds. I did not mean to ask for references for orbifolds or groupoids. …
- 6,023