List questions from general-topology

Published on 15 Apr 2026 - 23:40

204

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Is this subset of $M_4(\mathbb R)$ connected?

Published on 11 May 2026 - 9:31

40

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How do I prove that there exists a bijection from power set of $D$ to $C'\subseteq C.$

Published on 09 Apr 2026 - 15:45

102

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Condition for the projection on $S_n(\mathbb{R})$ to be orthogonal

Published on 13 Apr 2026 - 3:32

80

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Two notions of boundedness in metrizable topological vector space.

Published on 10 May 2026 - 14:55

51

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Nested interestection forms neighbourhood basis

Published on 10 May 2026 - 18:19

58

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An equivalent condition for being $T_1-$space $(X,\mathscr T)$ is normal.

Published on 11 May 2026 - 5:19

44

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$H_k (R^m, R^m \setminus 0) \cong H_k (S^m, S^m \setminus x)$?

Published on 16 Apr 2026 - 7:57

364

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Are metrics uniformly equivalent if and only if they have the same zero-distance sets?

Published on 09 Apr 2026 - 6:18

43

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Is every completely regular topology induced by some proximity?

Published on 11 May 2026 - 2:47

35

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$H_k (S^m, S^m \setminus x)\cong H_k (S^m, pt)$?

Published on 14 Apr 2026 - 18:21

154

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Non-standard examples of smash products and joins

Published on 11 Apr 2026 - 5:47

71

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Another equivalent condition for being $T_1$−space $(X,\mathscr T)$ is normal.

Published on 15 Apr 2026 - 10:50

42

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When does $(F,f): (X,A) \rightarrow (Y,B)$ induce isomorphisms on homology?

Published on 15 Apr 2026 - 7:02

4.2k

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Why are subsets of compact sets not compact?

Published on 12 Apr 2026 - 4:49

List Question

compact subset of infinite-dimensional inner product space has empty interior

Is this subset of $M_4(\mathbb R)$ connected?

How do I prove that there exists a bijection from power set of $D$ to $C'\subseteq C.$

Condition for the projection on $S_n(\mathbb{R})$ to be orthogonal

Two notions of boundedness in metrizable topological vector space.

Nested interestection forms neighbourhood basis

An equivalent condition for being $T_1-$space $(X,\mathscr T)$ is normal.

$H_k (R^m, R^m \setminus 0) \cong H_k (S^m, S^m \setminus x)$?

Are metrics uniformly equivalent if and only if they have the same zero-distance sets?

Is every completely regular topology induced by some proximity?

$H_k (S^m, S^m \setminus x)\cong H_k (S^m, pt)$?

Non-standard examples of smash products and joins

Another equivalent condition for being $T_1$−space $(X,\mathscr T)$ is normal.

When does $(F,f): (X,A) \rightarrow (Y,B)$ induce isomorphisms on homology?

Why are subsets of compact sets not compact?

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