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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
50
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A natural transformation

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#category-theory #natural-transformations #accessible-categories
82
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If $A, B$ are Morita equivalent, then $\underline{\text{Nat}}(I_A, I_A)\cong\underline{\text{Nat}}(I_B, I_B)$.

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#category-theory #natural-transformations
161
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Spherical fusion categories: A certain functor

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#category-theory #monoidal-categories #natural-transformations #topological-quantum-field-theory #fusion-categories
100
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Definition of functor in equivalence with skeleton

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#category-theory #natural-transformations
434
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Tensor products and natural isomorphisms

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#vector-spaces #tensor-products #natural-transformations
246
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Yoneda's lemma: group morphisms give Hopf-algebra morphisms

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#category-theory #duality-theorems #hopf-algebras #natural-transformations #representable-functor
94
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Does taking restriction and left derived functors commute?

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#commutative-algebra #homological-algebra #abelian-categories #derived-functors #natural-transformations
486
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pair homotopic maps induce the same homology

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#algebraic-topology #homology-cohomology #homotopy-theory #functors #natural-transformations
265
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Definition of $\tilde{H}_n(X,A)$

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#group-theory #algebraic-topology #homology-cohomology #exact-sequence #natural-transformations
48
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Show that $Sh(C,J)^{D^{op}}$ is a Grothendieck topos

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#category-theory #sheaf-theory #topos-theory #natural-transformations
119
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On a special kind of $R$-linear functor from an $R$-linear additive category

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#commutative-algebra #natural-transformations #additive-categories
108
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Number of Natural Transformation

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#category-theory #natural-transformations
77
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Question about a statement in Mac Lane's "Categories for the working mathematician" about a bijection being natural in an object

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#category-theory #functors #natural-transformations
60
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Hilton/Stammbach Exercise 2.4.6: Yoneda Embedding and Functors

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#category-theory #functors #yoneda-lemma #natural-transformations

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