List questions from forgetful-functors

Published on 21 Sep 2017 - 14:27

68

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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 04 Aug 2020 - 19:48

84

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construction of adjoint of forgetful functor Set_\star to Set

Published on 11 Oct 2020 - 14:21

238

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

Published on 30 Dec 2020 - 1:49

118

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

Published on 15 Jan 2021 - 19:49

85

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Definition of representable functor with values in $Ab$

Published on 12 Feb 2021 - 15:10

233

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Forgetful functor from Magma to Set

Published on 02 Mar 2021 - 15:12

42

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underlying functors

Published on 19 Nov 2021 - 0:23

583

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

Published on 24 Nov 2021 - 7:37

60

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

Published on 29 Nov 2021 - 4:07

100

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

Published on 09 Jul 2022 - 22:33

95

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

Published on 08 Sep 2022 - 19:15

88

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

Published on 19 Oct 2022 - 15:43

161

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Adjoint of forgetful functor on presheaves

Published on 21 Nov 2022 - 2:03

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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