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15
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Equivalence Between Category of Covering Spaces and Category of Sets with an Action By The Fundamental Groupoid

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#algebraic-topology #category-theory #fundamental-groups #groupoids #natural-transformations
96
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adjunctions from either the category of small categories or the category of groupoids

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#category-theory #examples-counterexamples #adjoint-functors #groupoids
110
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Hopf "algebroid" structure of a groupoid convolution algebra?

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#convolution #noncommutative-algebra #hopf-algebras #coalgebras #groupoids
309
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Pushout of groupoid

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#category-theory #groupoids
106
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Explicit description of pullback of $(2,1)$-categories.

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#category-theory #homotopy-theory #groupoids #enriched-category-theory
461
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Good book for self-study of Magmas/Semigroups/etc.?

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#book-recommendation #semigroups #monoid #groupoids #magma
131
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Classical Galois Theory and Groupoids?

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#abstract-algebra #reference-request #field-theory #galois-theory #groupoids
187
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Is a connected groupoid uniquely determined by its objects and fundamental group?

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#category-theory #fundamental-groups #groupoids
89
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What is the practical benefit of a groupoid structure?

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#category-theory #groupoids
137
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What are groupoids?

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#category-theory #groupoids
92
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(non-)Existence of an endofunctor of $F$ on $g/{\bf B}G^\circlearrowleft$ given the definition of $F$ on objects.

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#group-theory #functors #groupoids #slice-category
174
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Functors making functions natural transformations and vice-versa.

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#category-theory #big-picture #groupoids
104
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Groupoid structure of a kernel pair

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#category-theory #limits-colimits #groupoids
109
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Without totality: Semigroupoid, Small Category, and Groupoid - how not be closed possible?

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#abstract-algebra #group-theory #category-theory #terminology #groupoids
174
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1-dimensional foliation of surfaces with prescribed graph of foliation

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#c-star-algebras #groupoids #noncommutative-geometry #foliations

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