List questions from general-topology

Published on 08 Apr 2026 - 2:38

347

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Can different topological spaces have the same square?

Published on 12 Apr 2026 - 19:26

155

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$L^1$ norm equivalent to weak topology of $W^{1,1}$?

Published on 11 Apr 2026 - 21:49

285

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Finite dimensional normed vector space, projection continuous?

Published on 14 Apr 2026 - 19:33

274

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Does there exist a higher-dimensional 5-sided "tetrahedron + 1"?

Published on 09 Apr 2026 - 20:02

178

Views

Relation induced topology

Published on 11 Apr 2026 - 9:27

582

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Isomorphism between two spaces, one of them is a Banach Space.

Published on 14 Apr 2026 - 1:34

95

Views

Enumerable and Dense

Published on 10 Apr 2026 - 20:00

138

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Is there a "topology" of functions?

Published on 09 Apr 2026 - 16:02

522

Views

Proving $f(x)=(\cos(2\pi x),\sin(2\pi x)))$ is not closed and is the quotient mapping

Published on 16 Apr 2026 - 12:22

128

Views

Are uniformly equivalent metrics with the same bounded sets Holder equivalent?

Published on 09 Apr 2026 - 4:30

180

Views

$[0, 1]\setminus \mathbb Q$ can't be exhausted by Jordan sets

Published on 16 Apr 2026 - 12:57

166

Views

Examples for $ \bar{A}\cap \bar{B}\neq\emptyset $, but $ \bar{A}\cap B=A\cap\bar{B}=\emptyset $.

Published on 15 Apr 2026 - 22:16

144

Views

IVT and connectedness on $\mathbb{R}^{n}$

Published on 14 Apr 2026 - 16:26

162

Views

Set Theory: Union over sets satisfying criterion, rigorous definition?

Published on 10 Apr 2026 - 19:09

List Question

Equivalence of two definitions of simple connectedness.

Can different topological spaces have the same square?

$L^1$ norm equivalent to weak topology of $W^{1,1}$?

Finite dimensional normed vector space, projection continuous?

Does there exist a higher-dimensional 5-sided "tetrahedron + 1"?

Relation induced topology

Isomorphism between two spaces, one of them is a Banach Space.

Enumerable and Dense

Is there a "topology" of functions?

Proving $f(x)=(\cos(2\pi x),\sin(2\pi x)))$ is not closed and is the quotient mapping

Are uniformly equivalent metrics with the same bounded sets Holder equivalent?

$[0, 1]\setminus \mathbb Q$ can't be exhausted by Jordan sets

Examples for $ \bar{A}\cap \bar{B}\neq\emptyset $, but $ \bar{A}\cap B=A\cap\bar{B}=\emptyset $.

IVT and connectedness on $\mathbb{R}^{n}$

Set Theory: Union over sets satisfying criterion, rigorous definition?

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