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15
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Trying to understand the definition of a universal property

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#category-theory #limits-colimits #universal-property #slice-category
470
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What is exponentiation in the slice category?

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#category-theory #exponentiation #slice-category
159
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Why is el(-)=$\int(-)$ a functor from functors to a slice cateory?

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#category-theory #functors #yoneda-lemma #slice-category
81
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Are morphisms in a slice category $c/C$ inherited from the original category $C$?

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#category-theory #slice-category
331
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How does the functor $F: \textbf{C}/C \to \textbf{C}$ "forget about the base object" $C$?

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#category-theory #functors #slice-category
159
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Slice category - origin of the name

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#category-theory #terminology #slice-category
206
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Slice model category and initial/terminal objects

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#category-theory #homological-algebra #model-categories #slice-category
75
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Categories fibered in groupoids and the slice category

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#category-theory #groupoids #algebraic-stacks #slice-category
90
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Representable presheaves on the slice category

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#reference-request #category-theory #representable-functor #slice-category #presheaves
147
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How could stalk functor be seen as the pullback functor for the morphism $i_x:\{x\}\to X$?

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#algebraic-geometry #category-theory #sheaf-theory #slice-category
45
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Is an epimorphism fibered in contractible kan complexes an acyclic kan fibration?

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#category-theory #homotopy-theory #simplicial-stuff #higher-category-theory #slice-category
112
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Does The Dependent Product Functor Relate To Type Theory?

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#category-theory #type-theory #slice-category
99
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Left and right adjoints of functor category inclusion

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#category-theory #adjoint-functors #natural-transformations #slice-category #forgetful-functors
59
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Category of monoids isomorphic to coslice category

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#abstract-algebra #category-theory #representation-theory #algebras #slice-category
50
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When performing the "opposite" operation in a category, can you reverse arrows that are part of an object's definition?

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#category-theory #duality-theorems #slice-category

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