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15
306
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Precondition "small category" in functor category

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#category-theory #monoidal-categories #functors
129
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Equivalence of categories of cones

Published on
#category-theory
763
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Coproducts and products are the same

Published on
#vector-spaces #category-theory
92
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In a groupoid G, is G(x,y) called a coset of the automorphism group G(x,x)?

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#group-theory #category-theory
72
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What is a function $g$ called, which, composed with a certain function $f_2$, yields a given function $f_1$ (i.e. $f_1 = f_2\circ g$)?

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#abstract-algebra #category-theory #terminology #function-and-relation-composition
110
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Why do the $-1$-categories form a categeory rather than merely a set?

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#category-theory #order-theory #higher-category-theory
49
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Categorical product cancellable

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#category-theory #products
461
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Mistake in Mac Lane's presentation of the "universal natural transformation"?

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#category-theory #functors
76
Views

Is a continuous functor the generalization of a continuous function?

Published on
#category-theory
65
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Specifying composites of morphisms in a localisation of a triangulated category

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#category-theory #homotopy-theory #triangulated-categories #derived-categories
329
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Objects of the $\mathcal{Pno}$ category?

Published on
#category-theory #definition
446
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Why is finiteness necessary in definition of connected category

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#category-theory
80
Views

Subcomplexes of relative I-cell complexes

Published on
#category-theory #homotopy-theory #model-categories
420
Views

Strict Epimorphism of Schemes

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#algebraic-geometry #category-theory #etale-cohomology #epimorphisms
50
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Right/Left-exactness in Abelian categories

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#category-theory #exact-sequence #abelian-categories #functors

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