Question

Is there a way to show Yoneda equality visually instead of compositional algebraic symbols?

score 106 · Answer 1 · 2019-05-09 03:26:41

106

Views

Is there a way to show Yoneda equality visually instead of compositional algebraic symbols?

Published on 09 May 2019 - 3:26

score 255 · Answer 2 · 2019-05-31 18:53:43

255

Views

Weibel exercise 1.1.4, taking $A = Z_n$...

Published on 31 May 2019 - 18:53

score 83 · Answer 3 · 2019-06-20 01:15:39

83

Views

Defining $Hom(f,W)$

Published on 20 Jun 2019 - 1:15

score 74 · Answer 4 · 2019-06-30 10:50:10

74

Views

reflective subcategory

Published on 30 Jun 2019 - 10:50

score 157 · Answer 5 · 2026-03-16 04:40:04

157

Views

Is there a reason why we call $\mathrm{Hom}(A, -)$ covariant and $\mathrm{Hom}(-,B)$ contravariant?

Published on 16 Mar 2026 - 4:40

score 183 · Answer 6 · 2026-03-24 23:40:16

183

Views

Exactness of a sequence in Abelian category

Published on 24 Mar 2026 - 23:40

score 43 · Answer 7 · 2026-03-19 16:54:40

43

Views

Difference between functors $\text{Hom}_B(-,B)$ and $\text{Hom}_{\mathbb C}(-,\mathbb C)$

Published on 19 Mar 2026 - 16:54

score 43 · Answer 8 · 2026-03-19 22:03:44

43

Views

There is a unique map $P \to \text{Hom}(A, \prod_i C_i)$ whenever $P \xrightarrow{p_i} \text{Hom}(A, C_i)$?

Published on 19 Mar 2026 - 22:03

score 95 · Answer 9 · 2020-02-28 02:43:02

95

Views

What is the name of this identity relating the monoidal products of finite sets and finite-dimensional vector spaces?

Published on 28 Feb 2020 - 2:43

score 84 · Answer 10 · 2026-03-21 12:48:03

84

Views

Showing that $H_A\simeq H_{A'}$ implies $A\simeq A'$

Published on 21 Mar 2026 - 12:48

score 160 · Answer 11 · 2026-03-19 16:59:22

160

Views

Lifting of a morphism in a hom-functor when hom-sets are empty

Published on 19 Mar 2026 - 16:59

score 216 · Answer 12 · 2026-03-24 11:48:07

216

Views

What is a clear, elegant proof that $\text{Hom}(\cdot, Y)$ is a right-exact functor in a category of modules?

Published on 24 Mar 2026 - 11:48

score 57 · Answer 13 · 2026-03-18 18:26:25

57

Views

Representing object for a functor mapping a category to composable morphisms

Published on 18 Mar 2026 - 18:26

score 99 · Answer 14 · 2026-03-19 13:04:14

99

Views

What is the difference between a presheaf and a contravariant Hom functor

Published on 19 Mar 2026 - 13:04

score 32 · Answer 15 · 2023-11-20 12:48:23

32

Views

Functor $−\otimes_R L$ is right exact

Published on 20 Nov 2023 - 12:48

List Question

Is there a way to show Yoneda equality visually instead of compositional algebraic symbols?

Weibel exercise 1.1.4, taking $A = Z_n$...

Defining $Hom(f,W)$

reflective subcategory

Is there a reason why we call $\mathrm{Hom}(A, -)$ covariant and $\mathrm{Hom}(-,B)$ contravariant?

Exactness of a sequence in Abelian category

Difference between functors $\text{Hom}_B(-,B)$ and $\text{Hom}_{\mathbb C}(-,\mathbb C)$

There is a unique map $P \to \text{Hom}(A, \prod_i C_i)$ whenever $P \xrightarrow{p_i} \text{Hom}(A, C_i)$?

What is the name of this identity relating the monoidal products of finite sets and finite-dimensional vector spaces?

Showing that $H_A\simeq H_{A'}$ implies $A\simeq A'$

Lifting of a morphism in a hom-functor when hom-sets are empty

What is a clear, elegant proof that $\text{Hom}(\cdot, Y)$ is a right-exact functor in a category of modules?

Representing object for a functor mapping a category to composable morphisms

What is the difference between a presheaf and a contravariant Hom functor

Functor $−\otimes_R L$ is right exact

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