Question

Understanding full and faithful functors

score 236 · Answer 1 · 2026-03-25 15:11:07

236

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Understanding full and faithful functors

Published on 25 Mar 2026 - 15:11

score 45 · Answer 2 · 2019-06-21 18:56:24

45

Views

Counterexamples where $\sum_i (a_i : b) \subsetneq (\sum_i a_i :b)$ or where $\sum_i (a: b_i) \subsetneq (a : \bigcap_i b_i)$?

Published on 21 Jun 2019 - 18:56

score 35 · Answer 3 · 2019-06-21 21:08:00

35

Views

an example related to derivatives

Published on 21 Jun 2019 - 21:08

score 285 · Answer 4 · 2019-06-22 09:22:21

285

Views

For non-diagonalizable matrices, the dimension of centralizer can be different from $\sum\limits_{j=1}^k d_j^2$

Published on 22 Jun 2019 - 9:22

score 161 · Answer 5 · 2019-06-22 22:12:03

161

Views

Multiplication and division by a morphism under the "inner composition" in closed monoidal categories

Published on 22 Jun 2019 - 22:12

score 46 · Answer 6 · 2019-06-22 22:17:09

46

Views

Construct a 2 generator group $G$ that is an extension of a free abelian group $N$ of infinite rank by an infinite cyclic group

Published on 22 Jun 2019 - 22:17

score 823 · Answer 7 · 2026-03-26 08:12:08

823

Views

Ricci tensor does not determine the curvature tensor

Published on 26 Mar 2026 - 8:12

score 501 · Answer 8 · 2019-06-24 14:36:28

501

Views

Is there a category where products don't exist because uniqueness fails?

Published on 24 Jun 2019 - 14:36

score 752 · Answer 9 · 2026-03-25 15:17:53

752

Views

The image of a functor need not be a subcategory

Published on 25 Mar 2026 - 15:17

score 4k · Answer 10 · 2019-06-25 14:26:08

4k

Views

Can a nowhere continuous function have a connected graph?

Published on 25 Jun 2019 - 14:26

score 75 · Answer 11 · 2026-03-27 10:31:36

75

Views

Examples of $C^*$-algebras without strict comparison

Published on 27 Mar 2026 - 10:31

score 239 · Answer 12 · 2019-06-26 17:02:03

239

Views

Prove that $n(a^2 - a + 1)^n \ge a^{2n} + a^{2n(1 - \frac{1}{n - 1})} + \cdots + a^{\frac{2n}{n - 1}} + 1$.

Published on 26 Jun 2019 - 17:02

score 69 · Answer 13 · 2019-06-27 07:03:27

69

Views

Two different versions of limit in topological spaces

Published on 27 Jun 2019 - 7:03

score 203 · Answer 14 · 2019-06-28 08:43:22

203

Views

A counterexample in measure theory on $\sigma$-infinite spaces

Published on 28 Jun 2019 - 8:43

score 53 · Answer 15 · 2026-03-25 08:08:36

53

Views

Isomorph vector space such that X complete and Y not

Published on 25 Mar 2026 - 8:08

List Question

Understanding full and faithful functors

Counterexamples where $\sum_i (a_i : b) \subsetneq (\sum_i a_i :b)$ or where $\sum_i (a: b_i) \subsetneq (a : \bigcap_i b_i)$?

an example related to derivatives

For non-diagonalizable matrices, the dimension of centralizer can be different from $\sum\limits_{j=1}^k d_j^2$

Multiplication and division by a morphism under the "inner composition" in closed monoidal categories

Construct a 2 generator group $G$ that is an extension of a free abelian group $N$ of infinite rank by an infinite cyclic group

Ricci tensor does not determine the curvature tensor

Is there a category where products don't exist because uniqueness fails?

The image of a functor need not be a subcategory

Can a nowhere continuous function have a connected graph?

Examples of $C^*$-algebras without strict comparison

Prove that $n(a^2 - a + 1)^n \ge a^{2n} + a^{2n(1 - \frac{1}{n - 1})} + \cdots + a^{\frac{2n}{n - 1}} + 1$.

Two different versions of limit in topological spaces

A counterexample in measure theory on $\sigma$-infinite spaces

Isomorph vector space such that X complete and Y not

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