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A groupoid is a category where all morphisms are invertible. This notion can also be seen as an extension of the notion of group. A motivating example is the fundamental groupoid of a topological space with respect to several base points, compared to the usual fundamental group.
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Isotropy group of a Lie groupoid is a Lie group
I am reading Orbifolds as Groupoids.
Any outline would also be accepted as an answer. …
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2
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Why study orbifolds? [closed]
I did not mean to ask for references for orbifolds or groupoids. It is about how do you explain others what orbifolds are and how they occur naturally and what tools do we use to study thei geometry. …
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On fundamental groupoid of fundamental groupoid
Given a topological space $X$, we have the notion of the fundamental groupoid $\Pi_1(X)$.
Here, the fundamental groupoid $\Pi_1(X)$ is made into a topological groupoid giving a topology on the morph …
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What are Lie groupoids intuitively?
I am trying to understand about Lie groupoids but not able to get feeling for what it actually is.
So, question here is,
What are Lie groupoids? … How similar are they to Lie groups, Groupoids and what can one expect to do on a Lie groupoid?
Any reference is appreciated. …