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15
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groupoid of finite sets.

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#groupoids
358
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Riehl's Category Theory in Context - Exercise 1.5.vii without Axiom of Choice

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#category-theory #functors #groupoids #natural-transformations
44
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How to realize the map $\eta$ globally?

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#category-theory #groupoids #lie-groupoids
52
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Groupoids all of whose subcategories are themselves groupoids

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#category-theory #groupoids
118
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Functor from $BG \to \text{Gpd}$ induces functors for each $g \in G$.

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#abstract-algebra #category-theory #functors #groupoids
419
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$\pi_1(S^1, 1)$ via the fundamental groupoid

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#algebraic-topology #homotopy-theory #fundamental-groups #groupoids
71
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Number of fixed point free permutations by groupoid cardinals

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#category-theory #groupoids #derangements
217
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Why can't the 3-type of $S^2$ be delooped?

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#algebraic-topology #category-theory #homotopy-theory #groupoids
141
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$G$-set are groupoids of a fibred category

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#category-theory #groupoids
257
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Quotient by a topological groupoid.

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#general-topology #topological-groups #quotient-spaces #groupoids #lie-groupoids
46
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Does the inclusion of $n$-connected $\infty$-groupoids into $(n-1)$-connected $\infty$-groupoids admit adjoints?

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#algebraic-topology #homotopy-theory #adjoint-functors #higher-category-theory #groupoids
199
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Adjunction between Kan complexes and Groupoids

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#category-theory #homotopy-theory #groupoids
31
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Paracompact iff deformation retract of classifying space of every open cover?

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#algebraic-topology #category-theory #homotopy-theory #groupoids
28
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Coseparating family in the category of groupoids

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#category-theory #groupoids
653
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The difference between weak Kan complexes and Kan complexes

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#algebraic-topology #category-theory #simplicial-stuff #groupoids

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