Question

On the topological properties and measure of $\{(A,B)\in M(n,\mathbb R)\times M(n,\mathbb R) : \det (A+B)=\det(A)+\det(B)\}$

score 66 · Answer 1 · 2026-05-10 15:26:15

66

Views

On the topological properties and measure of $\{(A,B)\in M(n,\mathbb R)\times M(n,\mathbb R) : \det (A+B)=\det(A)+\det(B)\}$

Published on 10 May 2026 - 15:26

score 500 · Answer 2 · 2026-04-14 12:36:46

500

Views

Show that every open set A in a metric space (X, d) is the union of closed sets.

Published on 14 Apr 2026 - 12:36

score 66 · Answer 3 · 2026-04-11 05:24:43

66

Views

Show that $E$ is the closure of $A$.

Published on 11 Apr 2026 - 5:24

score 53 · Answer 4 · 2026-04-16 12:28:38

53

Views

Give a metric space $(X,d)$ and a function $f$ such that the topologies $T_d$ and $T_{d_f}$ are distinct.

Published on 16 Apr 2026 - 12:28

score 335 · Answer 5 · 2026-04-16 07:48:24

335

Views

What is the point of the discrete metric for a metric space?

Published on 16 Apr 2026 - 7:48

score 1.4k · Answer 6 · 2026-05-10 15:01:34

1.4k

Views

Alternative proof to Rudin's "any intersection of closed sets is closed"

Published on 10 May 2026 - 15:01

score 312 · Answer 7 · 2026-05-10 17:46:09

312

Views

Characterization of Compactness in $\ell^\infty$

Published on 10 May 2026 - 17:46

score 99 · Answer 8 · 2026-04-17 07:55:10

99

Views

Show that the following is a valid metric on a metric space $(M,d)$

Published on 17 Apr 2026 - 7:55

score 27 · Answer 9 · 2026-04-13 12:20:57

27

Views

Completeness in normed linear spaces

Published on 13 Apr 2026 - 12:20

score 405 · Answer 10 · 2026-04-14 21:02:04

405

Views

Showing that a subset is dense in a separable metric space

Published on 14 Apr 2026 - 21:02

score 46 · Answer 11 · 2026-04-17 08:14:21

46

Views

Short proof of $d(x, A) = \lim_{n \to +\infty} d(x, A_n)$ with $(A_n)$ so that $A = \bigcup_{i=1}^n A_i$.

Published on 17 Apr 2026 - 8:14

score 1.2k · Answer 12 · 2026-05-14 03:47:22

1.2k

Views

Vector space with countable dense subset

Published on 14 May 2026 - 3:47

score 56 · Answer 13 · 2026-04-14 11:03:09

56

Views

Proving the existence of a metric space

Published on 14 Apr 2026 - 11:03

score 67 · Answer 14 · 2026-04-11 18:44:45

67

Views

Unable to solve this metric space question

Published on 11 Apr 2026 - 18:44

score 977 · Answer 15 · 2026-05-10 19:22:44

977

Views

Does homeomorphism on $\mathbb R^n$ preserves Lebesgue measurability?

Published on 10 May 2026 - 19:22

List Question

On the topological properties and measure of $\{(A,B)\in M(n,\mathbb R)\times M(n,\mathbb R) : \det (A+B)=\det(A)+\det(B)\}$

Show that every open set A in a metric space (X, d) is the union of closed sets.

Show that $E$ is the closure of $A$.

Give a metric space $(X,d)$ and a function $f$ such that the topologies $T_d$ and $T_{d_f}$ are distinct.

What is the point of the discrete metric for a metric space?

Alternative proof to Rudin's "any intersection of closed sets is closed"

Characterization of Compactness in $\ell^\infty$

Show that the following is a valid metric on a metric space $(M,d)$

Completeness in normed linear spaces

Showing that a subset is dense in a separable metric space

Short proof of $d(x, A) = \lim_{n \to +\infty} d(x, A_n)$ with $(A_n)$ so that $A = \bigcup_{i=1}^n A_i$.

Vector space with countable dense subset

Proving the existence of a metric space

Unable to solve this metric space question

Does homeomorphism on $\mathbb R^n$ preserves Lebesgue measurability?

Trending Questions

Popular # Hahtags

Popular Questions