List questions from functors

Published on 25 Mar 2026 - 7:43

57

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Coproduct and a natural transformation

Published on 25 Mar 2026 - 9:24

99

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Composition of a natural transformation with a functor

Published on 25 Mar 2026 - 4:40

660

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Reference for Fundamental Group of infinite product

Published on 05 Jul 2019 - 10:53

84

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K-theory functoriality understanding

Published on 25 Mar 2026 - 1:15

239

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2-functor and CAT

Published on 24 Mar 2026 - 22:01

342

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Is a full functor not necessarily surjective in terms of objects?

Published on 10 Jul 2019 - 13:45

145

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In the definition of a monoidal category, how are the natural isomorphisms natural transformations?

Published on 10 Jul 2019 - 20:09

117

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Is there always a natural transformation from one function to another; and is it unique?

Published on 25 Mar 2026 - 7:43

230

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Showing that a functor $Cat\to Set$ is representable

Published on 25 Mar 2026 - 7:54

97

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Left regular representation as a representable functor

Published on 12 Jul 2019 - 1:08

150

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Naturality in two variables is equivalent to naturality in each variable

Published on 25 Mar 2026 - 7:49

218

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About the naturality condition in the Yoneda lemma

Published on 25 Mar 2026 - 9:27

80

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Is $\mathsf{Set}^{\mathsf{Set}}$ equivalent to its category of endofunctors?

Published on 17 Jul 2019 - 13:33

194

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Definitions of cocone vs. cone

Published on 23 Jul 2019 - 1:35

List Question

Composition of a natural transformations with a functor--whiskering

Coproduct and a natural transformation

Composition of a natural transformation with a functor

Reference for Fundamental Group of infinite product

K-theory functoriality understanding

2-functor and CAT

Is a full functor not necessarily surjective in terms of objects?

In the definition of a monoidal category, how are the natural isomorphisms natural transformations?

Is there always a natural transformation from one function to another; and is it unique?

Showing that a functor $Cat\to Set$ is representable

Left regular representation as a representable functor

Naturality in two variables is equivalent to naturality in each variable

About the naturality condition in the Yoneda lemma

Is $\mathsf{Set}^{\mathsf{Set}}$ equivalent to its category of endofunctors?

Definitions of cocone vs. cone

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