List questions from functors

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Question concerning functors which are equivalences

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250

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Why does functor's definition care so much about preserving $id$?

Published on 24 Apr 2018 - 18:43

450

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Composition of monadic functors may not be monadic

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109

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Natural isomorphism between categories

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107

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Injective object in the category of projective systems of $R$-modules.

Published on 22 Mar 2026 - 21:02

464

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Flatness in a short exact sequence. If the

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85

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Subfunctor from a category to Set

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48

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injective objects for section functor

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63

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compact support cohomology calculus

Published on 22 Mar 2026 - 8:05

205

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equivalences induced by functors

Published on 23 Mar 2026 - 14:36

73

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Family of models for singular chain complex with local coefficients.

Published on 22 May 2018 - 15:31

1.3k

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Relation between limits (colimits) and kernels (cokernels) in category theory.

Published on 23 May 2018 - 15:39

46

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Aditive functor characterization. Aditive iff right/left exact.

Published on 28 May 2018 - 18:07

98

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Why is $\lim: \operatorname{Fun}(I, C) \rightarrow C, \alpha \mapsto \lim(\alpha)$ a functor?

Published on 02 Jun 2018 - 20:32

List Question

When does conservative imply faithful for functors?

Question concerning functors which are equivalences

Why does functor's definition care so much about preserving $id$?

Composition of monadic functors may not be monadic

Natural isomorphism between categories

Injective object in the category of projective systems of $R$-modules.

Flatness in a short exact sequence. If the

Subfunctor from a category to Set

injective objects for section functor

compact support cohomology calculus

equivalences induced by functors

Family of models for singular chain complex with local coefficients.

Relation between limits (colimits) and kernels (cokernels) in category theory.

Aditive functor characterization. Aditive iff right/left exact.

Why is $\lim: \operatorname{Fun}(I, C) \rightarrow C, \alpha \mapsto \lim(\alpha)$ a functor?

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