Question

prove that $[a,b)\cong [c,d)\cong (a,b]\cong(c,d] $ with a<b and c<d and a,b,c,d any real numbers

score 140 · Answer 1 · 2026-04-16 11:57:51

140

Views

prove that $[a,b)\cong [c,d)\cong (a,b]\cong(c,d] $ with a<b and c<d and a,b,c,d any real numbers

Published on 16 Apr 2026 - 11:57

score 153 · Answer 2 · 2026-04-12 21:24:13

153

Views

Is convergence of a net of functions almost everywhere a topological notion?

Published on 12 Apr 2026 - 21:24

score 217 · Answer 3 · 2026-04-10 17:20:35

217

Views

How does the product construction of the Stone-Cech compactification work?

Published on 10 Apr 2026 - 17:20

score 56 · Answer 4 · 2026-04-15 03:25:25

56

Views

Is this function from $\mathbb{R}^{n+1}\setminus\{0\}$ to $\mathbb{R}_+×S^n$ surjective?

Published on 15 Apr 2026 - 3:25

score 958 · Answer 5 · 2026-04-12 15:48:03

958

Views

Cofibrations are embeddings

Published on 12 Apr 2026 - 15:48

score 102 · Answer 6 · 2026-04-09 03:51:43

102

Views

Compact 3-dimensional extension of two-dimensional torus

Published on 09 Apr 2026 - 3:51

score 76 · Answer 7 · 2026-04-10 00:30:31

76

Views

Interior Points Question

Published on 10 Apr 2026 - 0:30

score 352 · Answer 8 · 2026-04-14 13:10:05

352

Views

$(X/H)/(G/H)=X/G$? Here $G$ is a topological group acting continuously on $X$, $H$ is a closed normal subgroup of $G$.

Published on 14 Apr 2026 - 13:10

score 38 · Answer 9 · 2026-04-11 15:44:06

For every $U \subseteq V$, $U$ is compact in $V$ if it is compact in $X$, or, for every $U \subseteq V$, $U$ is compact in $X$ if it compact in $V$.

score 1k · Answer 10 · 2026-04-16 07:51:56

1k

Views

Convergence of a constant sequence in a set of finite elements

Published on 16 Apr 2026 - 7:51

score 132 · Answer 11 · 2026-04-13 05:59:43

132

Views

The identity homotopy on the circle can create an arc of any length

Published on 13 Apr 2026 - 5:59

score 52 · Answer 12 · 2026-04-11 13:47:33

52

Views

Trivial Question on Open Set in $\mathbb{R}^2$ with standard euclidean topology

Published on 11 Apr 2026 - 13:47

score 391 · Answer 13 · 2026-04-15 08:01:41

391

Views

Let $M$ be a shift space over a finite alphabet $\mathcal{A}$. Prove that $M$ is compact in the metric topology $\tau_{\rho}$.

Published on 15 Apr 2026 - 8:01

score 33 · Answer 14 · 2026-04-11 04:39:49

33

Views

Fundamental group of a plane united with a circle in 3D space

Published on 11 Apr 2026 - 4:39

score 59 · Answer 15 · 2026-04-15 09:50:49

59

Views

$A$ and $U$ are homeomorphic; $U$ is open in $X$ $\Rightarrow$ $A$ is open in $X$?

Published on 15 Apr 2026 - 9:50

List Question

prove that $[a,b)\cong [c,d)\cong (a,b]\cong(c,d] $ with a<b and c<d and a,b,c,d any real numbers

Is convergence of a net of functions almost everywhere a topological notion?

How does the product construction of the Stone-Cech compactification work?

Is this function from $\mathbb{R}^{n+1}\setminus\{0\}$ to $\mathbb{R}_+×S^n$ surjective?

Cofibrations are embeddings

Compact 3-dimensional extension of two-dimensional torus

Interior Points Question

$(X/H)/(G/H)=X/G$? Here $G$ is a topological group acting continuously on $X$, $H$ is a closed normal subgroup of $G$.

For every $U \subseteq V$, $U$ is compact in $V$ if it is compact in $X$, or, for every $U \subseteq V$, $U$ is compact in $X$ if it compact in $V$.

Convergence of a constant sequence in a set of finite elements

The identity homotopy on the circle can create an arc of any length

Trivial Question on Open Set in $\mathbb{R}^2$ with standard euclidean topology

Let $M$ be a shift space over a finite alphabet $\mathcal{A}$. Prove that $M$ is compact in the metric topology $\tau_{\rho}$.

Fundamental group of a plane united with a circle in 3D space

$A$ and $U$ are homeomorphic; $U$ is open in $X$ $\Rightarrow$ $A$ is open in $X$?

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