List questions from general-topology

Published on 11 Apr 2026 - 12:34

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$U\times W \cong V\times W $ does this imply that $U\cong V$

Published on 12 Apr 2026 - 4:00

87

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How "big" can the boundary support of a continuous function be?

Published on 11 Apr 2026 - 19:45

64

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Basis for co-countable topology

Published on 15 Apr 2026 - 7:26

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This covering map is homeomorphism

Published on 11 May 2026 - 9:56

241

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Prove $f(\overline{U})) \subset \overline{f(U)}$

Published on 16 Apr 2026 - 10:45

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Closure of $(0,1)$ with respect to topology $\mathcal{T}$ with sets $U$ s.t. $\forall x\in U$, $(x-ε, x]\subseteq U$ for some $ε > 0$.

Published on 15 Apr 2026 - 13:39

89

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How is a group visually represented?

Published on 11 Apr 2026 - 23:01

51

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Showing there exists no sequence of indicator functions on $\mathbb{R}^\mathbb{R}$ that converges to the indicator function on $\mathbb{R}$

Published on 04 May 2026 - 15:48

363

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Borel Hierarchy

Published on 10 May 2026 - 23:53

218

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Why is the set $\{x \mid f(x) \not= g(x)\}$ measurable in a topological hausdorff space?

Published on 14 May 2026 - 1:22

88

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Are $\Bbb R^2\backslash\{(x,y) : x\le 0,y=0\}$ and the unit disc homeomorphic? Difference between conformal map an homeomorphism.

Published on 11 May 2026 - 4:10

50

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Is it true that $\mathcal H^{n-1}(\partial (A \cap B))=\mathcal H^{n-1}((\partial A) \cap B) + \mathcal H^{n-1}( A\cap ( \partial B))$?

Published on 25 Mar 2026 - 11:03

88

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Continuity of $\textrm{argmin}$ set-valued mapping

Published on 14 Apr 2026 - 0:49

53

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Topology boundary point terminology

Published on 12 Apr 2026 - 20:58

List Question

How to show $d>0$?

$U\times W \cong V\times W $ does this imply that $U\cong V$

How "big" can the boundary support of a continuous function be?

Basis for co-countable topology

This covering map is homeomorphism

Prove $f(\overline{U})) \subset \overline{f(U)}$

Closure of $(0,1)$ with respect to topology $\mathcal{T}$ with sets $U$ s.t. $\forall x\in U$, $(x-ε, x]\subseteq U$ for some $ε > 0$.

How is a group visually represented?

Showing there exists no sequence of indicator functions on $\mathbb{R}^\mathbb{R}$ that converges to the indicator function on $\mathbb{R}$

Borel Hierarchy

Why is the set $\{x \mid f(x) \not= g(x)\}$ measurable in a topological hausdorff space?

Are $\Bbb R^2\backslash\{(x,y) : x\le 0,y=0\}$ and the unit disc homeomorphic? Difference between conformal map an homeomorphism.

Is it true that $\mathcal H^{n-1}(\partial (A \cap B))=\mathcal H^{n-1}((\partial A) \cap B) + \mathcal H^{n-1}( A\cap ( \partial B))$?

Continuity of $\textrm{argmin}$ set-valued mapping

Topology boundary point terminology

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