Question

Find an open cover that doesn't contain a finite subcover

score 2.1k · Answer 1 · 2017-03-16 21:17:03

2.1k

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Find an open cover that doesn't contain a finite subcover

Published on 16 Mar 2017 - 21:17

score 19 · Answer 2 · 2017-03-17 13:44:04

19

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Given space X and open subset U. Prove there exists a finite intersection of closed subsets that is a subset of U.

Published on 17 Mar 2017 - 13:44

score 848 · Answer 3 · 2017-03-18 12:03:10

848

Views

Find the compact subsets of the cofinite topology on the real space R.

Published on 18 Mar 2017 - 12:03

score 211 · Answer 4 · 2026-03-25 07:42:09

211

Views

A short map is an isometry when restricted to a suitable subset

Published on 25 Mar 2026 - 7:42

score 325 · Answer 5 · 2017-03-19 09:43:45

325

Views

Lemma 2.5-2 and Theorem 2.5-3 in Kreyszig's Functional Analysis Book: Does compactness of every closed and bounded subset also imply ...?

Published on 19 Mar 2017 - 9:43

score 1k · Answer 6 · 2017-03-21 01:20:26

1k

Views

perfect map in topology

Published on 21 Mar 2017 - 1:20

score 230 · Answer 7 · 2026-04-02 23:28:55

230

Views

Let X be connected, compact, and Hausdorff. Cut points and separations

Published on 02 Apr 2026 - 23:28

score 936 · Answer 8 · 2026-03-28 12:13:34

936

Views

Compact subgroup and quotient implies compactness?

Published on 28 Mar 2026 - 12:13

score 283 · Answer 9 · 2026-04-02 23:30:47

283

Views

Compact, Connected, Hausdorff space

Published on 02 Apr 2026 - 23:30

score 1.1k · Answer 10 · 2017-03-22 04:38:56

1.1k

Views

How can I show that the closed unit ball in $L^1([0,1])$ is not compact?

Published on 22 Mar 2017 - 4:38

score 136 · Answer 11 · 2026-03-30 17:08:14

136

Views

If A is bounded and not compact, prove thrrr is a continuous function on A that is not uniformly continuous.

Published on 30 Mar 2026 - 17:08

score 209 · Answer 12 · 2026-04-02 23:34:30

209

Views

connected and compact but not closed?

Published on 02 Apr 2026 - 23:34

score 67 · Answer 13 · 2026-03-29 03:02:38

67

Views

A compact subspace of $\{a_n: n \in \mathbb{N}\} \cup W(\omega_1)$

Published on 29 Mar 2026 - 3:02

score 50 · Answer 14 · 2026-03-28 22:37:30

50

Views

A quotient space

Published on 28 Mar 2026 - 22:37

score 98 · Answer 15 · 2026-03-26 04:51:00

98

Views

Show that a compact set is bounded and closed (for $n$-dimensional vectorspace)

Published on 26 Mar 2026 - 4:51

List Question

Find an open cover that doesn't contain a finite subcover

Given space X and open subset U. Prove there exists a finite intersection of closed subsets that is a subset of U.

Find the compact subsets of the cofinite topology on the real space R.

A short map is an isometry when restricted to a suitable subset

Lemma 2.5-2 and Theorem 2.5-3 in Kreyszig's Functional Analysis Book: Does compactness of every closed and bounded subset also imply ...?

perfect map in topology

Let X be connected, compact, and Hausdorff. Cut points and separations

Compact subgroup and quotient implies compactness?

Compact, Connected, Hausdorff space

How can I show that the closed unit ball in $L^1([0,1])$ is not compact?

If A is bounded and not compact, prove thrrr is a continuous function on A that is not uniformly continuous.

connected and compact but not closed?

A compact subspace of $\{a_n: n \in \mathbb{N}\} \cup W(\omega_1)$

A quotient space

Show that a compact set is bounded and closed (for $n$-dimensional vectorspace)

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