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15
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Is additivity necessary for a left exact functor to preserve pullbacks?

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#homological-algebra #exact-sequence #abelian-categories #functors
342
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What constructions of "elementary" mathematics are actually functors?

Published on
#category-theory #examples-counterexamples #functors
172
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Showing that $F$ is not representable

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#abstract-algebra #commutative-algebra #category-theory #functors #representable-functor
141
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Adjoint functors for Lie Algebras

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#lie-algebras #adjoint-functors #functors
107
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Well-powered/subobject functor?

Published on
#category-theory #manifolds #functors
75
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Can I define a functor F and a "ΔF" of sorts, which will uniquely determine a new functor?

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#category-theory #functors #natural-transformations
108
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Proof verification: An arrow which is monic under a faithful functor is itself monic

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#proof-verification #category-theory #functors #monomorphisms
63
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Equivalent definitions of a contravariant functor

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#category-theory #functors
214
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Can natural transformations be viewed as functors between images of functors?

Published on
#category-theory #functors #natural-transformations
410
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Is the identity functor naturally isomorphic to a covariant dual functor?

Published on
#functional-analysis #category-theory #dual-spaces #functors #natural-transformations
452
Views

Is a natural transformation uniquely determined by a single morphism?

Published on
#category-theory #functors #natural-transformations
735
Views

Does every functor from Set to Set preserve products?

Published on
#category-theory #examples-counterexamples #products #functors
47
Views

Show that a functor with a domain A × B can be regarded as a pair of families of functors

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#category-theory #functors
50
Views

Degrees of freedom for injective endofunctor keeping objects constant?

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#category-theory #functors
33
Views

Terminology for "quasi-constant" functors

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#reference-request #category-theory #functors

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