List questions from general-topology

Published on 13 Apr 2026 - 7:25

91

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Topology of $x^2+y^2 = 1$ over $\mathbb{C}^2$

Published on 14 Apr 2026 - 23:39

312

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Rudin Analysis, Theorem 2.36: Is there a generalization?

Published on 14 Apr 2026 - 3:14

237

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Compactly generated topological vector space

Published on 14 Apr 2026 - 8:10

55

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Suppose $f : [0,1] \rightarrow \mathbb{R}^2$ is continuous and injective, then show that $f([0,1])$ has an empty interior in $(\mathbb{R}^2, d_e)$.

Published on 16 Apr 2026 - 15:54

998

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Compare the vertical intervals topology with the standard topology on $ \mathbb{R}^2$.

Published on 16 Apr 2026 - 12:23

38

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Is $D$ closed in $\Bbb R^n$?

Published on 10 May 2026 - 18:22

536

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Proving $[0,1]^{\mathbb{N}}$ with the product topology is compact by showing it's complete and totally bounded

Published on 05 May 2026 - 5:45

559

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Nested sequence of compact subsets covering an open set in $\mathbb{C}$

Published on 14 Apr 2026 - 1:02

3k

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Prove that a closed set contains all its limit points

Published on 15 Apr 2026 - 13:43

41

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Problem : connectedness of sets

Published on 17 Apr 2026 - 10:13

76

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topology of kolmogroff space

Published on 11 Apr 2026 - 0:47

40

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How to use closedness of $C$?

Published on 10 Apr 2026 - 9:03

37

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Usefulness of value $>0$ and $\leq 1$ associated to each open bounded subset of $\Bbb R^n$ that is invariant under translation rotation or scaling?

Published on 15 Apr 2026 - 16:36

380

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the set of all irrational numbers is homeomorphic to its one point deleted subset

Published on 14 Apr 2026 - 10:49

List Question

general topology on boundary

Topology of $x^2+y^2 = 1$ over $\mathbb{C}^2$

Rudin Analysis, Theorem 2.36: Is there a generalization?

Compactly generated topological vector space

Suppose $f : [0,1] \rightarrow \mathbb{R}^2$ is continuous and injective, then show that $f([0,1])$ has an empty interior in $(\mathbb{R}^2, d_e)$.

Compare the vertical intervals topology with the standard topology on $ \mathbb{R}^2$.

Is $D$ closed in $\Bbb R^n$?

Proving $[0,1]^{\mathbb{N}}$ with the product topology is compact by showing it's complete and totally bounded

Nested sequence of compact subsets covering an open set in $\mathbb{C}$

Prove that a closed set contains all its limit points

Problem : connectedness of sets

topology of kolmogroff space

How to use closedness of $C$?

Usefulness of value $>0$ and $\leq 1$ associated to each open bounded subset of $\Bbb R^n$ that is invariant under translation rotation or scaling?

the set of all irrational numbers is homeomorphic to its one point deleted subset

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