List questions from forgetful-functors

Published on 23 Sep 2019 - 11:13

319

Views

Forgetful functor from Pos to Set does not have a right adjoint

Published on 13 Jan 2020 - 11:44

152

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Mac Lane: Forgetful functor of Algebraic Systems to $\textbf{Set}$

Published on 17 Jan 2020 - 1:29

197

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Is direct limit created by the forgetful functor from an Eilenberg-Moore algebra

Published on 23 Jan 2020 - 23:17

222

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Self-Natural Maps for Forgetful Functor

Published on 28 Jan 2020 - 17:48

199

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The forgetful functor $U:\mathbf{B}G\to\mathbf{Sets}$ need not preserve infinite limits.

Published on 14 Feb 2020 - 14:44

39

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Showing $\operatorname{Mod}(R,C)$ is $k$-abelian when $C$ is and related.

Published on 04 May 2023 - 14:38

39

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Adjunction between discrete topology functor and forgetful functor

Published on 25 Aug 2023 - 12:36

52

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Prove that the forgetful functor $U: \textbf{Ab} \to \textbf{Set}$ preserves all filtered colimits

Published on 10 Dec 2023 - 21:01

78

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Left and right adjoints of functor category inclusion

Published on 08 Jan 2024 - 16:54

66

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Concrete functors with left adjoint

Published on 10 Feb 2024 - 21:35

57

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Subobject in the category of topological spaces

Published on 16 Feb 2024 - 9:58

49

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Is the category of monoids $\textsf{Mon}(\mathcal{C})$ in a monoidal category $\mathcal{C}$ itself monoidal?

Published on 29 Feb 2024 - 15:53

31

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Are right-adjoints of a forgetful functor reflectors?

Published on 04 Mar 2024 - 13:30

63

Views

Why does this specific adjoint chain come up for different categories?

Published on 13 Mar 2024 - 13:44

List Question

How does the forgetful functor from $\mathbf{C}/C$ to $\mathbf{C}$ forgets the object $C$?

Forgetful functor from Pos to Set does not have a right adjoint

Mac Lane: Forgetful functor of Algebraic Systems to $\textbf{Set}$

Is direct limit created by the forgetful functor from an Eilenberg-Moore algebra

Self-Natural Maps for Forgetful Functor

The forgetful functor $U:\mathbf{B}G\to\mathbf{Sets}$ need not preserve infinite limits.

Showing $\operatorname{Mod}(R,C)$ is $k$-abelian when $C$ is and related.

Adjunction between discrete topology functor and forgetful functor

Prove that the forgetful functor $U: \textbf{Ab} \to \textbf{Set}$ preserves all filtered colimits

Left and right adjoints of functor category inclusion

Concrete functors with left adjoint

Subobject in the category of topological spaces

Is the category of monoids $\textsf{Mon}(\mathcal{C})$ in a monoidal category $\mathcal{C}$ itself monoidal?

Are right-adjoints of a forgetful functor reflectors?

Why does this specific adjoint chain come up for different categories?

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