List questions from compactness

Published on 12 Jun 2020 - 14:16

67

Views

Show that $K$ of a topological space $(X, \tau)$ is compact.

Published on 28 Mar 2026 - 6:40

211

Views

How to identify which concics in $\mathbb R^2$ are compact and which conics are not?

Published on 13 Jun 2020 - 7:06

36

Views

Show $||f(x)-x||$ has a minimum value for $x$ in a compact space.

Published on 14 Jun 2020 - 9:01

482

Views

Lower semi-continuous on compact set

Published on 23 Feb 2026 - 10:00

329

Views

Understanding Axler's proof of the Heine-Borel Theorem

Published on 15 Jun 2020 - 2:39

718

Views

Derivatives of a function with compact suport have compact support

Published on 15 Jun 2020 - 13:53

93

Views

Is the Wallman compactification of a locally compact $T_1$ space locally compact?

Published on 26 Mar 2026 - 9:42

176

Views

Characterization of precompact sets

Published on 28 Mar 2026 - 8:08

319

Views

Proof Verification: Equivalent Definition for Locally Compact Hausdorff Space

Published on 26 Mar 2026 - 2:58

135

Views

Assume that the metric space $(X, d)$ is not compact. Show that there exists $f: X\to \Bbb R$ which is continuous but not bounded.

Published on 18 Jun 2020 - 14:31

50

Views

Compact and $T_2$ - space question

Published on 18 Jun 2020 - 15:54

49

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Open and closed balls around $a \in M$ wrt. two metrics

Published on 19 Jun 2020 - 0:57

285

Views

about covering space and compact base space

Published on 27 Mar 2026 - 22:11

189

Views

When was Compactness Theorem for propositional logic first proven?

Published on 02 Apr 2026 - 0:58

List Question

Is $Y := \{(x, \cos\frac{1}{x}) :\, 0 < x \leq 1\}$ compact?

Show that $K$ of a topological space $(X, \tau)$ is compact.

How to identify which concics in $\mathbb R^2$ are compact and which conics are not?

Show $||f(x)-x||$ has a minimum value for $x$ in a compact space.

Lower semi-continuous on compact set

Understanding Axler's proof of the Heine-Borel Theorem

Derivatives of a function with compact suport have compact support

Is the Wallman compactification of a locally compact $T_1$ space locally compact?

Characterization of precompact sets

Proof Verification: Equivalent Definition for Locally Compact Hausdorff Space

Assume that the metric space $(X, d)$ is not compact. Show that there exists $f: X\to \Bbb R$ which is continuous but not bounded.

Compact and $T_2$ - space question

Open and closed balls around $a \in M$ wrt. two metrics

about covering space and compact base space

When was Compactness Theorem for propositional logic first proven?

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