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When does conservative imply faithful for functors?

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#category-theory #homotopy-theory #fundamental-groups #functors
51
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Question concerning functors which are equivalences

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#category-theory #monoidal-categories #functors
253
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Why does functor's definition care so much about preserving $id$?

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#category-theory #definition #functors
458
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Composition of monadic functors may not be monadic

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#category-theory #adjoint-functors #functors #monads
112
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Natural isomorphism between categories

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#category-theory #functors
114
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Injective object in the category of projective systems of $R$-modules.

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#commutative-algebra #category-theory #injective-module #functors
469
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Flatness in a short exact sequence. If the

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#homological-algebra #tensor-products #exact-sequence #flatness #functors
92
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Subfunctor from a category to Set

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#category-theory #functors #forgetful-functors
52
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injective objects for section functor

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#abstract-algebra #category-theory #homological-algebra #sheaf-cohomology #functors
68
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compact support cohomology calculus

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#abstract-algebra #category-theory #homology-cohomology #sheaf-theory #functors
210
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equivalences induced by functors

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#abstract-algebra #category-theory #representation-theory #functors #derived-categories
75
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Family of models for singular chain complex with local coefficients.

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#algebraic-topology #category-theory #homology-cohomology #homological-algebra #functors
1.3k
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Relation between limits (colimits) and kernels (cokernels) in category theory.

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#category-theory #functors
51
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Aditive functor characterization. Aditive iff right/left exact.

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#category-theory #abelian-categories #functors
102
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Why is $\lim: \operatorname{Fun}(I, C) \rightarrow C, \alpha \mapsto \lim(\alpha)$ a functor?

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#category-theory #limits-colimits #functors

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