Question

Equivalent definition of a quotient map

score 2.2k · Answer 1 · 2026-04-14 17:50:04

2.2k

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Equivalent definition of a quotient map

Published on 14 Apr 2026 - 17:50

score 425 · Answer 2 · 2026-04-12 03:51:43

425

Views

The definition of the addition is continuous on a linear space with a topology?

Published on 12 Apr 2026 - 3:51

score 160 · Answer 3 · 2026-04-14 07:32:29

160

Views

Does infimum exist on any subset of this partial order.

Published on 14 Apr 2026 - 7:32

score 39 · Answer 4 · 2026-04-15 08:18:29

If $\mathcal{B}_{0}=\{Int(B):B\in\mathcal{B}\}$ is a local base of a point $x,$ then $\mathcal{B}$ is also a local base of $x?$

score 105 · Answer 5 · 2026-04-10 17:22:37

105

Views

Continuity in function spaces

Published on 10 Apr 2026 - 17:22

score 224 · Answer 6 · 2026-04-15 01:34:25

224

Views

Is $C_0(\mathbb{R}^n)$ dense in $L^p(A)$ when $A\subset \mathbb{R}^n$ is measurable and $1\leq p \leq \infty$?

Published on 15 Apr 2026 - 1:34

score 83 · Answer 7 · 2026-04-11 17:18:50

83

Views

The intersection of all stabilizers in a continuous action

Published on 11 Apr 2026 - 17:18

score 89 · Answer 8 · 2026-04-10 04:00:40

89

Views

If the fact that $f_y$ and $f_x$ are continuous can implies $f$ is continuous?

Published on 10 Apr 2026 - 4:00

score 867 · Answer 9 · 2026-04-15 14:24:40

867

Views

How could one geometrically visualize any given metric space $(X,d)$?

Published on 15 Apr 2026 - 14:24

score 180 · Answer 10 · 2026-04-10 23:57:20

180

Views

Does projection of a simplicial subdivision of a simplex onto a lower-dimensional face generate a subdivision of that face?

Published on 10 Apr 2026 - 23:57

score 54 · Answer 11 · 2026-04-11 11:59:49

54

Views

"Almost metric" functions

Published on 11 Apr 2026 - 11:59

score 73 · Answer 12 · 2026-04-16 13:33:52

73

Views

Let $S=\{(x,y) \in \mathbb{R}^2: 0<x^2+y^2 \leq 1\}$ be a subset of the metric space $M = \mathbb{R}^2$, prove that $\lim(S) = \{(0,0)\} \cup S$

Published on 16 Apr 2026 - 13:33

score 352 · Answer 13 · 2026-04-09 14:24:46

352

Views

Proof verification of radial plane topology

Published on 09 Apr 2026 - 14:24

score 54 · Answer 14 · 2026-04-13 16:21:47

54

Views

show countable intersection of a sequence of open sets is open

Published on 13 Apr 2026 - 16:21

score 379 · Answer 15 · 2026-04-14 14:37:15

379

Views

Two real discrete sets with non discrete union

Published on 14 Apr 2026 - 14:37

List Question

Equivalent definition of a quotient map

The definition of the addition is continuous on a linear space with a topology?

Does infimum exist on any subset of this partial order.

If $\mathcal{B}_{0}=\{Int(B):B\in\mathcal{B}\}$ is a local base of a point $x,$ then $\mathcal{B}$ is also a local base of $x?$

Continuity in function spaces

Is $C_0(\mathbb{R}^n)$ dense in $L^p(A)$ when $A\subset \mathbb{R}^n$ is measurable and $1\leq p \leq \infty$?

The intersection of all stabilizers in a continuous action

If the fact that $f_y$ and $f_x$ are continuous can implies $f$ is continuous?

How could one geometrically visualize any given metric space $(X,d)$?

Does projection of a simplicial subdivision of a simplex onto a lower-dimensional face generate a subdivision of that face?

"Almost metric" functions

Let $S=\{(x,y) \in \mathbb{R}^2: 0<x^2+y^2 \leq 1\}$ be a subset of the metric space $M = \mathbb{R}^2$, prove that $\lim(S) = \{(0,0)\} \cup S$

Proof verification of radial plane topology

show countable intersection of a sequence of open sets is open

Two real discrete sets with non discrete union

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