List questions from compactness

Published on 26 Mar 2026 - 7:58

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Is the following number set compact?

Published on 13 Sep 2018 - 14:49

266

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prove the following lemma about a compact space and a ultrametric.

Published on 23 Feb 2026 - 6:38

354

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A first countable hemicompact space is locally compact

Published on 25 Mar 2026 - 20:40

143

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To check whether given space is metrizable

Published on 23 Mar 2026 - 11:12

98

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Locally compact metric space having atleast one non-compact closed ball

Published on 19 Sep 2018 - 13:29

225

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Covering and Heine-Borel theorem

Published on 19 Sep 2018 - 15:01

1.7k

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Compactness of a metric space

Published on 25 Mar 2026 - 16:39

70

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Let $C$ be compact sets. $\bigcap_{i \in K} (C_i)=\emptyset \Rightarrow \exists F \subseteq K \; \text {finite} | \bigcap_{i \in F} (C_i) = \emptyset$

Published on 25 Mar 2026 - 12:49

47

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How i can show that this set is compact?

Published on 21 Sep 2018 - 15:43

98

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Clarification on locally compact space

Published on 22 Sep 2018 - 21:34

462

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Let $S$ be a nonempty subset of $\mathbb{R}$. If ܵS is a finite union of disjoint bounded intervals, then which one of the following is true?

Published on 23 Sep 2018 - 11:52

609

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Number of connected components of a set.

Published on 29 Mar 2026 - 3:27

552

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Compactness of $\{x \rightarrow \sin(\pi nx) : n \in \mathbb{Z}\}$

Published on 24 Sep 2018 - 3:16

110

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Compactness of $\ A= \{f: f$ is power series with infinite radius of convergence and is bounded by $1\}$

Published on 24 Sep 2018 - 3:39

List Question

Find the supremeum and infimum, and is the set compact?

Is the following number set compact?

prove the following lemma about a compact space and a ultrametric.

A first countable hemicompact space is locally compact

To check whether given space is metrizable

Locally compact metric space having atleast one non-compact closed ball

Covering and Heine-Borel theorem

Compactness of a metric space

Let $C$ be compact sets. $\bigcap_{i \in K} (C_i)=\emptyset \Rightarrow \exists F \subseteq K \; \text {finite} | \bigcap_{i \in F} (C_i) = \emptyset$

How i can show that this set is compact?

Clarification on locally compact space

Let $S$ be a nonempty subset of $\mathbb{R}$. If ܵS is a finite union of disjoint bounded intervals, then which one of the following is true?

Number of connected components of a set.

Compactness of $\{x \rightarrow \sin(\pi nx) : n \in \mathbb{Z}\}$

Compactness of $\ A= \{f: f$ is power series with infinite radius of convergence and is bounded by $1\}$

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