List questions from forgetful-functors

Published on 23 Feb 2026 - 5:11

69

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Naturality of $\varphi : \textbf{Vct}_K(V(x), w) \xrightarrow{\sim} \textbf{Set}(x, U(w))$ in the variable $x$ (Cats for the Working Mathematician).

Published on 23 Feb 2026 - 5:15

85

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construction of adjoint of forgetful functor Set_\star to Set

Published on 23 Feb 2026 - 5:13

239

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Reconstructions of Groups From Category of $G-\mathbf{Sets}$; Construction of a Group Homomorphism

Published on 23 Feb 2026 - 5:14

119

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The forgetful functor $U: \text{Con}(\mathcal C) \to \mathcal C$ has a left adjoint.

Published on 23 Feb 2026 - 5:10

86

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Definition of representable functor with values in $Ab$

Published on 23 Feb 2026 - 5:10

234

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Forgetful functor from Magma to Set

Published on 23 Feb 2026 - 5:17

44

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underlying functors

Published on 26 Mar 2026 - 19:20

584

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Prove the forgetful functor $U: Grp \to Set$ preserves limits

Published on 23 Feb 2026 - 5:10

72

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Does the forgetful functor from the category of models of a cartesian theory preserve and create limits?

Published on 29 Mar 2026 - 18:26

102

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Coreflective subcategories in topology; especially of (path-)connected and locally (path-)connected spaces?

Published on 08 Apr 2026 - 1:33

96

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What is the most natural way to make a relation into an equivalence relation?

Published on 23 Feb 2026 - 5:13

89

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The forgetful functor $U:T-Alg\rightarrow C$ preserves limits

Published on 23 Feb 2026 - 5:19

162

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Adjoint of forgetful functor on presheaves

Published on 23 Feb 2026 - 5:12

List Question

A formal definition of forgetful functor

Naturality of $\varphi : \textbf{Vct}_K(V(x), w) \xrightarrow{\sim} \textbf{Set}(x, U(w))$ in the variable $x$ (Cats for the Working Mathematician).

construction of adjoint of forgetful functor Set_\star to Set

Reconstructions of Groups From Category of $G-\mathbf{Sets}$; Construction of a Group Homomorphism

The forgetful functor $U: \text{Con}(\mathcal C) \to \mathcal C$ has a left adjoint.

Definition of representable functor with values in $Ab$

Forgetful functor from Magma to Set

underlying functors

Prove the forgetful functor $U: Grp \to Set$ preserves limits

Does the forgetful functor from the category of models of a cartesian theory preserve and create limits?

Coreflective subcategories in topology; especially of (path-)connected and locally (path-)connected spaces?

What is the most natural way to make a relation into an equivalence relation?

The forgetful functor $U:T-Alg\rightarrow C$ preserves limits

Adjoint of forgetful functor on presheaves

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