Question

$T_1$ spaces and sequential limits

score 214 · Answer 1 · 2018-10-07 21:46:22

214

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$T_1$ spaces and sequential limits

Published on 07 Oct 2018 - 21:46

score 228 · Answer 2 · 2018-10-10 08:05:38

228

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Definition of Hausdorff space and please check my proof

Published on 10 Oct 2018 - 8:05

score 399 · Answer 3 · 2018-10-13 22:59:43

399

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A space is $T_0$ if and only if it is homeomorphic to a subpspace of $S^I$ with $S$ the Sierpinski space for some $I$ [Proof Verification]

Published on 13 Oct 2018 - 22:59

score 129 · Answer 4 · 2018-10-16 12:53:53

129

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Is every locally Banach, Hausdorff space regular?

Published on 16 Oct 2018 - 12:53

score 427 · Answer 5 · 2018-10-25 10:57:15

427

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GRE 9367 #62: Prove $X=[0,1]$ in lower limit topology ($[a,b)$) is not compact, is Hausdorff and is disconnected.

Published on 25 Oct 2018 - 10:57

score 89 · Answer 6 · 2018-10-29 06:36:22

89

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Definition of Tychonoff Separation Property in Royden's Real Analysis

Published on 29 Oct 2018 - 6:36

score 147 · Answer 7 · 2018-11-01 21:26:31

147

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The family of all subsets of $X$ that contain a fixed set $Q$ is regular under what conditions?

Published on 01 Nov 2018 - 21:26

score 219 · Answer 8 · 2026-02-22 23:10:18

219

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Are the three notions of compactness equivalent for uniform spaces?

Published on 22 Feb 2026 - 23:10

score 1.1k · Answer 9 · 2018-11-03 16:23:39

1.1k

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Proving a space is Hausdorff if $f$ is continuous and bijective

Published on 03 Nov 2018 - 16:23

score 1.3k · Answer 10 · 2026-03-22 15:16:10

1.3k

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Lindelöf and separable metric space

Published on 22 Mar 2026 - 15:16

score 376 · Answer 11 · 2026-02-23 03:00:01

376

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A topological space with the Universal Extension Property which is not homeomorphic to a retract of $\mathbb{R}^J$?

Published on 23 Feb 2026 - 3:00

score 65 · Answer 12 · 2018-11-09 21:40:42

65

Views

The separation axioms, or "how tightly a closed subset can be wrapped in an open set"

Published on 09 Nov 2018 - 21:40

score 45 · Answer 13 · 2018-11-14 00:25:04

45

Views

Does we have separation theorem for closed subsets in a topological vector space?

Published on 14 Nov 2018 - 0:25

score 68 · Answer 14 · 2018-11-19 21:56:45

68

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An aplication of the Hahn-Banach separation theorem: multiplier rule

Published on 19 Nov 2018 - 21:56

score 201 · Answer 15 · 2018-11-20 22:17:49

201

Views

Similarity and Difference between Separable Space and Separated space?

Published on 20 Nov 2018 - 22:17

List Question

$T_1$ spaces and sequential limits

Definition of Hausdorff space and please check my proof

A space is $T_0$ if and only if it is homeomorphic to a subpspace of $S^I$ with $S$ the Sierpinski space for some $I$ [Proof Verification]

Is every locally Banach, Hausdorff space regular?

GRE 9367 #62: Prove $X=[0,1]$ in lower limit topology ($[a,b)$) is not compact, is Hausdorff and is disconnected.

Definition of Tychonoff Separation Property in Royden's Real Analysis

The family of all subsets of $X$ that contain a fixed set $Q$ is regular under what conditions?

Are the three notions of compactness equivalent for uniform spaces?

Proving a space is Hausdorff if $f$ is continuous and bijective

Lindelöf and separable metric space

A topological space with the Universal Extension Property which is not homeomorphic to a retract of $\mathbb{R}^J$?

The separation axioms, or "how tightly a closed subset can be wrapped in an open set"

Does we have separation theorem for closed subsets in a topological vector space?

An aplication of the Hahn-Banach separation theorem: multiplier rule

Similarity and Difference between Separable Space and Separated space?

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