Question

If $A_k \subseteq X_k$ is closed in $X_k$ for all $1 \leq k \leq m$, then $\prod_{k=1}^{m} A_k$ is closed in $\prod_{k=1}^{m} X_k$

score 55 · Answer 1 · 2019-09-10 00:10:17

55

Views

If $A_k \subseteq X_k$ is closed in $X_k$ for all $1 \leq k \leq m$, then $\prod_{k=1}^{m} A_k$ is closed in $\prod_{k=1}^{m} X_k$

Published on 10 Sep 2019 - 0:10

score 78 · Answer 2 · 2019-09-10 04:26:45

78

Views

Can sequences in two seperated sets have the same limit point?

Published on 10 Sep 2019 - 4:26

score 161 · Answer 3 · 2026-04-11 07:13:05

161

Views

Does the Cayley-Menger determinant for a tetrahedron being positive, along with the triangle inequality holding, imply Ptolemy's inequality.

Published on 11 Apr 2026 - 7:13

score 58 · Answer 4 · 2026-04-10 08:13:02

58

Views

Is it possible to consistently factor powers of $3$ throughout $\Bbb Z_2$?

Published on 10 Apr 2026 - 8:13

score 54 · Answer 5 · 2026-03-25 20:53:13

54

Views

What are the effects of isometries upon the periodicity of p-adic numbers?

Published on 25 Mar 2026 - 20:53

score 51 · Answer 6 · 2026-04-09 18:18:57

51

Views

Question about Uniform Spaec with a nested space

Published on 09 Apr 2026 - 18:18

score 415 · Answer 7 · 2019-09-10 22:15:13

415

Views

Consider the set $A = \{ (x, y, z) :\, z\leq 6 \}\subseteq \mathbb R^3$. Show that $A$ is closed.

Published on 10 Sep 2019 - 22:15

score 50 · Answer 8 · 2026-04-11 04:25:14

50

Views

Explicit value for $\delta$ in the euclidean metric.

Published on 11 Apr 2026 - 4:25

score 90 · Answer 9 · 2026-04-08 20:20:51

90

Views

How does the iron shell know about infinity?

Published on 08 Apr 2026 - 20:20

score 322 · Answer 10 · 2026-04-09 11:23:30

322

Views

Equality of definitions of Lower Semicontinuity

Published on 09 Apr 2026 - 11:23

score 72 · Answer 11 · 2026-03-25 12:24:44

72

Views

$\mathrm{dim}(\partial U_k)\leq n$ for all $k$, implies $\mathrm{dim}(\partial (\bigcap_k U_k))\leq n$?

Published on 25 Mar 2026 - 12:24

score 26 · Answer 12 · 2019-09-11 14:38:22

26

Views

Prove Q is open using the square metric.

Published on 11 Sep 2019 - 14:38

score 484 · Answer 13 · 2019-09-12 16:23:58

484

Views

Why is the exterior set of $\mathbb R\setminus \mathbb Q$ a null set?

Published on 12 Sep 2019 - 16:23

score 271 · Answer 14 · 2026-04-09 17:41:35

271

Views

How to construct metric of direct sum of spaces?

Published on 09 Apr 2026 - 17:41

score 44 · Answer 15 · 2019-09-12 17:11:51

44

Views

Convergence of sequences in metric space

Published on 12 Sep 2019 - 17:11

List Question

If $A_k \subseteq X_k$ is closed in $X_k$ for all $1 \leq k \leq m$, then $\prod_{k=1}^{m} A_k$ is closed in $\prod_{k=1}^{m} X_k$

Can sequences in two seperated sets have the same limit point?

Does the Cayley-Menger determinant for a tetrahedron being positive, along with the triangle inequality holding, imply Ptolemy's inequality.

Is it possible to consistently factor powers of $3$ throughout $\Bbb Z_2$?

What are the effects of isometries upon the periodicity of p-adic numbers?

Question about Uniform Spaec with a nested space

Consider the set $A = \{ (x, y, z) :\, z\leq 6 \}\subseteq \mathbb R^3$. Show that $A$ is closed.

Explicit value for $\delta$ in the euclidean metric.

How does the iron shell know about infinity?

Equality of definitions of Lower Semicontinuity

$\mathrm{dim}(\partial U_k)\leq n$ for all $k$, implies $\mathrm{dim}(\partial (\bigcap_k U_k))\leq n$?

Prove Q is open using the square metric.

Why is the exterior set of $\mathbb R\setminus \mathbb Q$ a null set?

How to construct metric of direct sum of spaces?

Convergence of sequences in metric space

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