Question

If $M$ is compact subset of a metric space $X$, then it is bounded.

score 251 · Answer 1 · 2020-07-26 16:37:58

251

Views

If $M$ is compact subset of a metric space $X$, then it is bounded.

Published on 26 Jul 2020 - 16:37

score 132 · Answer 2 · 2020-07-26 21:55:13

132

Views

Is the set of non-decreasing bounded continuous functions a compact set?

Published on 26 Jul 2020 - 21:55

score 35 · Answer 3 · 2026-03-26 04:33:04

35

Views

Minimal Conditions for Limit Point to be an $\omega$-Accumulation Point?

Published on 26 Mar 2026 - 4:33

score 62 · Answer 4 · 2020-07-26 22:45:52

62

Views

Is the set of non-decreasing bounded continuous functions a compact set with the norm $(,)=\sup|−|$?

Published on 26 Jul 2020 - 22:45

score 254 · Answer 5 · 2020-07-26 23:20:13

254

Views

Is the set of uniformly bounded non-decreasing functions a compact set with the metric $(,)=\sup|−|$?

Published on 26 Jul 2020 - 23:20

score 41 · Answer 6 · 2026-03-26 04:36:48

41

Views

Necessary and Sufficient conditions for Product of Limit Point Compact spaces to be Limit Point Compact?

Published on 26 Mar 2026 - 4:36

score 75 · Answer 7 · 2020-07-27 13:20:18

75

Views

Is the set of uniformly bounded non-decreasing functions a compact set with the 2 metric?

Published on 27 Jul 2020 - 13:20

score 207 · Answer 8 · 2026-03-28 10:25:52

207

Views

Example for Sequentially Compact space which is not Compact not involving ordinals?

Published on 28 Mar 2026 - 10:25

score 158 · Answer 9 · 2020-07-28 12:19:12

158

Views

Are Closed Subspaces of Pseudocompact spaces Pseudocompact?

Published on 28 Jul 2020 - 12:19

score 910 · Answer 10 · 2020-07-28 15:46:02

910

Views

A totally disconnected compact space has clopen(closed-open) sets

Published on 28 Jul 2020 - 15:46

score 52 · Answer 11 · 2020-07-28 17:48:51

52

Views

Decreasing Sequence of Open Sets in Tychonoff Pseudocompact Spaces has Nonempty Intersection of Closures

Published on 28 Jul 2020 - 17:48

score 77 · Answer 12 · 2026-02-23 04:32:10

77

Views

Do Continuous Functions Preserve Realcompactness?

Published on 23 Feb 2026 - 4:32

score 50 · Answer 13 · 2020-07-29 12:05:02

50

Views

Filter Characterisation of Realcompact Spaces

Published on 29 Jul 2020 - 12:05

score 53 · Answer 14 · 2026-03-26 01:29:00

53

Views

How to prove that $\mathbb{C}_p$ is not locally compact?

Published on 26 Mar 2026 - 1:29

score 63 · Answer 15 · 2020-07-30 06:30:57

63

Views

Open Filter Characterization of Minimal Hausdorff Spaces

Published on 30 Jul 2020 - 6:30

List Question

If $M$ is compact subset of a metric space $X$, then it is bounded.

Is the set of non-decreasing bounded continuous functions a compact set?

Minimal Conditions for Limit Point to be an $\omega$-Accumulation Point?

Is the set of non-decreasing bounded continuous functions a compact set with the norm $(,)=\sup|−|$?

Is the set of uniformly bounded non-decreasing functions a compact set with the metric $(,)=\sup|−|$?

Necessary and Sufficient conditions for Product of Limit Point Compact spaces to be Limit Point Compact?

Is the set of uniformly bounded non-decreasing functions a compact set with the 2 metric?

Example for Sequentially Compact space which is not Compact not involving ordinals?

Are Closed Subspaces of Pseudocompact spaces Pseudocompact?

A totally disconnected compact space has clopen(closed-open) sets

Decreasing Sequence of Open Sets in Tychonoff Pseudocompact Spaces has Nonempty Intersection of Closures

Do Continuous Functions Preserve Realcompactness?

Filter Characterisation of Realcompact Spaces

How to prove that $\mathbb{C}_p$ is not locally compact?

Open Filter Characterization of Minimal Hausdorff Spaces

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