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what is an ∞-group?

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#group-theory #category-theory #homotopy-theory #groupoids
151
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Right (bi)adjoint of the inclusion of $\mathbf{Grpd}$ in $\mathbf{Cat}$

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#category-theory #adjoint-functors #groupoids #2-categories #bicategories
106
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Can nonisomorphic groupoids have homotopy equivalent classifying spaces?

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#algebraic-topology #fundamental-groups #simplicial-stuff #groupoids
205
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Fibered Categories in Groupoids

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#category-theory #groupoids
170
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Space of Riemannian metrics as a topological groupoid

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#general-topology #differential-geometry #riemannian-geometry #groupoids
118
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Categories Fibered in Groupoids and Yoneda

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#algebraic-geometry #category-theory #groupoids #pullback
78
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Object of a Category $C$ acts as Functor

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#algebraic-geometry #category-theory #groupoids #algebraic-stacks
238
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Is the 2-category of groupoids a topos?

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#category-theory #topos-theory #groupoids
549
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What is a topological groupoid?

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#reference-request #algebraic-topology #groupoids
244
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Milnor construction and deloopings

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#algebraic-topology #homotopy-theory #classifying-spaces #groupoids
50
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Groupoid Theory I, Higson's notes

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#measure-theory #differential-geometry #algebraic-topology #smooth-manifolds #groupoids
78
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Faithful representation of $C_c(X \times X)$.

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#functional-analysis #measure-theory #representation-theory #lie-groups #groupoids
43
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Inversion on an internal groupoid

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#category-theory #groupoids
152
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Equivalence between the Dwyer-Kan loop groupoid and the fundamental groupoid

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#algebraic-topology #homotopy-theory #simplicial-stuff #groupoids
63
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Equivalence of Lie groupoids $\phi: H \rightarrow G$ induces an equivalence of categories $\phi^*: G\text{-spaces} \rightarrow H\text{-spaces}$.

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#algebraic-topology #category-theory #groupoids #orbifolds #lie-groupoids

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