List questions from compactness

Published on 11 Sep 2019 - 14:40

38

Views

Explanation of Proof of Heine-Borel

Published on 12 Sep 2019 - 8:34

105

Views

Cardinality of a connected compact Hausdorff space?

Published on 27 Mar 2026 - 23:40

115

Views

Weaker condition for compact sets to be closed

Published on 14 Sep 2019 - 6:02

54

Views

Let $(A_{j})$ be a sequence of closed subsets of $X$ with $A_{j} \supseteq A_{j+1}$ for all $j \in \mathbb{N}$, then $\cap A_{j} \neq \emptyset .$

Published on 14 Sep 2019 - 16:01

62

Views

Proving that between any 2 real numbers there is a compact set.

Published on 15 Sep 2019 - 12:57

38

Views

I am looking for an example of a sequence of points with the following conditions.

Published on 15 Sep 2019 - 23:21

67

Views

Check if $(S,d)$ is a connected metric space

Published on 30 Mar 2026 - 11:22

90

Views

Compact convex set representation $K = \operatorname{cl} \operatorname{conv} \operatorname{exp} K$

Published on 25 Mar 2026 - 9:50

199

Views

Show that there is a positive integer $N$ such that every set of $N$ points of $K$ includes at least two points $<\varepsilon$ distance apart.

Published on 18 Sep 2019 - 2:14

375

Views

Relative compact sequence

Published on 31 Mar 2026 - 21:14

253

Views

Existence of increasing sequence of compact sets

Published on 23 Feb 2026 - 2:56

1.3k

Views

differentiability and Lipschitz continuous on compact set

Published on 26 Mar 2026 - 10:57

946

Views

Set of Hölder continuous functions is compact

Published on 23 Feb 2026 - 5:18

109

Views

When is $\mathbb{B}(\mathbb{X})$ compact?

Published on 30 Mar 2026 - 1:43

List Question

Compactness and infinite dimensions: unit balls.

Explanation of Proof of Heine-Borel

Cardinality of a connected compact Hausdorff space?

Weaker condition for compact sets to be closed

Let $(A_{j})$ be a sequence of closed subsets of $X$ with $A_{j} \supseteq A_{j+1}$ for all $j \in \mathbb{N}$, then $\cap A_{j} \neq \emptyset .$

Proving that between any 2 real numbers there is a compact set.

I am looking for an example of a sequence of points with the following conditions.

Check if $(S,d)$ is a connected metric space

Compact convex set representation $K = \operatorname{cl} \operatorname{conv} \operatorname{exp} K$

Show that there is a positive integer $N$ such that every set of $N$ points of $K$ includes at least two points $<\varepsilon$ distance apart.

Relative compact sequence

Existence of increasing sequence of compact sets

differentiability and Lipschitz continuous on compact set

Set of Hölder continuous functions is compact

When is $\mathbb{B}(\mathbb{X})$ compact?

Trending Questions

Popular # Hahtags

Popular Questions