Question

Riehl Universal Property of Tensor Product / "Tracing around the Commutative Square"

score 237 · Answer 1 · 2021-07-28 14:27:08

237

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Riehl Universal Property of Tensor Product / "Tracing around the Commutative Square"

Published on 28 Jul 2021 - 14:27

score 169 · Answer 2 · 2021-08-07 08:31:13

169

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About $\mathbb{C} \otimes_{\mathbb{R}} \mathbb{C}$ and $\mathbb{C} \otimes_{\mathbb{C}} \mathbb{C}$

Published on 07 Aug 2021 - 8:31

score 133 · Answer 3 · 2021-08-11 15:42:58

133

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Equivalence of universal properties

Published on 11 Aug 2021 - 15:42

score 143 · Answer 4 · 2021-08-14 07:37:39

143

Views

Universal Mapping Property of Free Categories

Published on 14 Aug 2021 - 7:37

score 254 · Answer 5 · 2021-08-25 13:37:46

254

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Q: Does stictly increasing function always cross x and y axis?

Published on 25 Aug 2021 - 13:37

score 98 · Answer 6 · 2021-08-29 10:08:53

98

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The free object of the variety constructed by an m-generated subalgebra

Published on 29 Aug 2021 - 10:08

score 189 · Answer 7 · 2021-09-10 01:48:26

189

Views

Show that $\mathbb{Z}/(m_1) \otimes_{\mathbb{Z}/(n)} \mathbb{Z}/(m_2) \cong \mathbb{Z}/(m_1,m_2)$

Published on 10 Sep 2021 - 1:48

score 824 · Answer 8 · 2021-09-12 07:49:15

824

Views

Proof of the Universal Property of the Tensor Products

Published on 12 Sep 2021 - 7:49

score 333 · Answer 9 · 2021-09-15 17:28:50

333

Views

Using universal properties to show isomorphisms?

Published on 15 Sep 2021 - 17:28

score 137 · Answer 10 · 2021-09-17 16:00:21

137

Views

Proving $\bigwedge^k(U\cap V) = \left(\bigwedge^kU\right) \bigcap \left(\bigwedge^k V\right)$ via the universal mapping property

Published on 17 Sep 2021 - 16:00

score 173 · Answer 11 · 2021-09-21 03:04:03

173

Views

Formulating a universal property for an inclusion map

Published on 21 Sep 2021 - 3:04

score 212 · Answer 12 · 2021-09-23 17:18:22

212

Views

How to show that $\mathbb{K}\otimes_\mathbb{K}V\cong V$ using just the universal property of the tensor product.

Published on 23 Sep 2021 - 17:18

score 152 · Answer 13 · 2021-09-28 19:53:27

152

Views

Trying to find the terminal object (and category) for this universal property

Published on 28 Sep 2021 - 19:53

score 141 · Answer 14 · 2021-10-06 19:48:31

141

Views

Homeomorphism of Coproduct

Published on 06 Oct 2021 - 19:48

score 76 · Answer 15 · 2021-10-16 22:03:01

Can one give a category theory formulation of the following statement: "On a generic real vector space there is no canonical choice of a base"

List Question

Riehl Universal Property of Tensor Product / "Tracing around the Commutative Square"

About $\mathbb{C} \otimes_{\mathbb{R}} \mathbb{C}$ and $\mathbb{C} \otimes_{\mathbb{C}} \mathbb{C}$

Equivalence of universal properties

Universal Mapping Property of Free Categories

Q: Does stictly increasing function always cross x and y axis?

The free object of the variety constructed by an m-generated subalgebra

Show that $\mathbb{Z}/(m_1) \otimes_{\mathbb{Z}/(n)} \mathbb{Z}/(m_2) \cong \mathbb{Z}/(m_1,m_2)$

Proof of the Universal Property of the Tensor Products

Using universal properties to show isomorphisms?

Proving $\bigwedge^k(U\cap V) = \left(\bigwedge^kU\right) \bigcap \left(\bigwedge^k V\right)$ via the universal mapping property

Formulating a universal property for an inclusion map

How to show that $\mathbb{K}\otimes_\mathbb{K}V\cong V$ using just the universal property of the tensor product.

Trying to find the terminal object (and category) for this universal property

Homeomorphism of Coproduct

Can one give a category theory formulation of the following statement: "On a generic real vector space there is no canonical choice of a base"

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