Question

For which categories do coproducts preserve monomorphisms and products preserve epimorphisms?

score 193 · Answer 1 · 2023-08-27 16:51:24

193

Views

For which categories do coproducts preserve monomorphisms and products preserve epimorphisms?

Published on 27 Aug 2023 - 16:51

score 43 · Answer 2 · 2023-09-16 18:38:53

43

Views

Definition and construction of disjoint union (topology) using a toy example

Published on 16 Sep 2023 - 18:38

score 45 · Answer 3 · 2023-10-24 00:04:29

45

Views

Awodey's Category Theory Example 3.6. co-product of Top

Published on 24 Oct 2023 - 0:04

score 24 · Answer 4 · 2023-10-31 08:32:20

24

Views

Non unital Hopf relation

Published on 31 Oct 2023 - 8:32

score 68 · Answer 5 · 2023-12-14 05:46:50

68

Views

Prove that the category of Rings is cocomplete

Published on 14 Dec 2023 - 5:46

score 91 · Answer 6 · 2023-12-24 22:35:14

91

Views

What is, in general, a commutative coproduct, and where can I learn more about it?

Published on 24 Dec 2023 - 22:35

score 57 · Answer 7 · 2024-01-06 05:57:57

57

Views

What exactly is the natural transformation that arises in a coproduct diagram?

Published on 06 Jan 2024 - 5:57

score 241 · Answer 8 · 2024-01-16 14:07:06

241

Views

"Asymmetry" in the construction of products and coproducts in concrete categories

Published on 16 Jan 2024 - 14:07

score 116 · Answer 9 · 2024-02-08 20:45:32

116

Views

Distributive property proof.

Published on 08 Feb 2024 - 20:45

score 87 · Answer 10 · 2024-03-16 14:16:11

87

Views

the free product of two presentations is isomorphic to a third presentation using UP of free product.

Published on 16 Mar 2024 - 14:16

score 34 · Answer 11 · 2024-03-20 18:18:34

34

Views

Shuffle product formula for coproduct

Published on 20 Mar 2024 - 18:18

score 43 · Answer 12 · 2024-03-30 15:37:03

43

Views

Coproduct of free objects

Published on 30 Mar 2024 - 15:37

score 70 · Answer 13 · 2022-06-26 10:02:57

70

Views

Is true that $f:∐_{σ∈Σ}X_σ⟶X$ is continuous iff $f∘ι_σ$ is continuous when $ι_σ$ is the standard embedding of $X_σ$ into $∐_{σ∈Σ}X_σ$?

Published on 26 Jun 2022 - 10:02

score 43 · Answer 14 · 2022-10-30 05:41:22

43

Views

Morphism to an infinite coproduct on an abelian category given a family with only finite non-zero morphisms

Published on 30 Oct 2022 - 5:41

score 31 · Answer 15 · 2022-11-27 17:19:38

31

Views

Can $[a_i, b_j]$ be nonzero in a coproduct of Lie Algebras A and B?

Published on 27 Nov 2022 - 17:19

List Question

For which categories do coproducts preserve monomorphisms and products preserve epimorphisms?

Definition and construction of disjoint union (topology) using a toy example

Awodey's Category Theory Example 3.6. co-product of Top

Non unital Hopf relation

Prove that the category of Rings is cocomplete

What is, in general, a commutative coproduct, and where can I learn more about it?

What exactly is the natural transformation that arises in a coproduct diagram?

"Asymmetry" in the construction of products and coproducts in concrete categories

Distributive property proof.

the free product of two presentations is isomorphic to a third presentation using UP of free product.

Shuffle product formula for coproduct

Coproduct of free objects

Is true that $f:∐_{σ∈Σ}X_σ⟶X$ is continuous iff $f∘ι_σ$ is continuous when $ι_σ$ is the standard embedding of $X_σ$ into $∐_{σ∈Σ}X_σ$?

Morphism to an infinite coproduct on an abelian category given a family with only finite non-zero morphisms

Can $[a_i, b_j]$ be nonzero in a coproduct of Lie Algebras A and B?

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