List questions from forgetful-functors

Published on 22 Mar 2018 - 3:24

73

Views

Subfunctor from a category to Set

Published on 10 May 2018 - 9:48

184

Views

How to see that endotransformations of fiber functor have a coalgebra structure?

Published on 22 May 2018 - 9:04

335

Views

Underlying set of the free monoid, does it contain the empty string?

Published on 20 Nov 2018 - 10:54

143

Views

$\lambda$-accessible categories, unclear proof

Published on 22 Feb 2026 - 23:22

253

Views

Composition of monadic functors isn't monadic

Published on 14 Jan 2019 - 19:59

54

Views

Is the category of small graphs a concrete category?

Published on 21 Feb 2019 - 14:10

173

Views

Is there a notion of a transversal of subobjects?

Published on 11 Mar 2019 - 6:05

137

Views

Do subobjects in concrete categories correspond to subsets?

Published on 11 Mar 2019 - 20:11

502

Views

Why does $\mathbb{Z}$ represent the forgetful functor $U:\mathbf{Grp}\to\mathbf{Set}$

Published on 27 Mar 2019 - 20:34

1.1k

Views

Completeness of over category (slice)

Published on 22 Feb 2026 - 21:48

226

Views

2-functor and CAT

Published on 22 Feb 2026 - 21:45

267

Views

Is a forgetful functor necessarily unfaithful or non-isomorphic?

Published on 10 Jul 2019 - 13:39

1.5k

Views

Why is the forgetful functor representable?

Published on 21 Jul 2019 - 16:34

94

Views

Representability of functors in categories other than Set category

Published on 23 Jul 2019 - 16:33

List Question

Forgetful functor from complete metric space to metric space

Subfunctor from a category to Set

How to see that endotransformations of fiber functor have a coalgebra structure?

Underlying set of the free monoid, does it contain the empty string?

$\lambda$-accessible categories, unclear proof

Composition of monadic functors isn't monadic

Is the category of small graphs a concrete category?

Is there a notion of a transversal of subobjects?

Do subobjects in concrete categories correspond to subsets?

Why does $\mathbb{Z}$ represent the forgetful functor $U:\mathbf{Grp}\to\mathbf{Set}$

Completeness of over category (slice)

2-functor and CAT

Is a forgetful functor necessarily unfaithful or non-isomorphic?

Why is the forgetful functor representable?

Representability of functors in categories other than Set category

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