List questions from compactness

Published on 27 Aug 2014 - 23:21

990

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The set $\{\|f\|_\alpha \leq 1 \}$ has compact closure in $C([0,1])$

Published on 28 Aug 2014 - 2:35

1.6k

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Arzela-Ascoli and compactness in $C(X), l^p, L^p$

Published on 28 Aug 2014 - 15:56

75

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Is $\{\langle x,y\rangle\mid 1 \leq x \leq 2, y = 0\}$ compact in $\Bbb R^2$?

Published on 30 Aug 2014 - 23:51

3.6k

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Counter example of a locally compact topological space which is not compact

Published on 31 Aug 2014 - 20:34

797

Views

Compactness of the Volterra opelator

Published on 26 Mar 2026 - 12:41

84

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About the compactness condition in Schauder fixed point theorem

Published on 27 Mar 2026 - 11:38

1.7k

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Mary Ellen Rudin's proof that all metric space are paracompact

Published on 03 Sep 2014 - 17:06

144

Views

Some Questions from the proof of the result : The unit interval $\mathbb I = [0,1]$ is compact

Published on 03 Sep 2014 - 21:45

2.3k

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Every locally compact space is compactly generated

Published on 04 Sep 2014 - 23:22

1k

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Proof of the Lebesgue Covering Theorem

Published on 05 Sep 2014 - 9:22

8k

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Disjoint compact subsets of a Hausdorff space are separated by disjoint open neighborhoods

Published on 25 Mar 2026 - 14:36

119

Views

"Heine–Borel" for the Sorgenfrey line

Published on 10 Sep 2014 - 5:03

162

Views

Counterexample on weaker version of result about compact sets

Published on 11 Sep 2014 - 0:21

157

Views

Show that f is onto.

Published on 31 Mar 2026 - 10:43

List Question

Compactness of the Grassmannian $G(k,n)$

The set $\{\|f\|_\alpha \leq 1 \}$ has compact closure in $C([0,1])$

Arzela-Ascoli and compactness in $C(X), l^p, L^p$

Is $\{\langle x,y\rangle\mid 1 \leq x \leq 2, y = 0\}$ compact in $\Bbb R^2$?

Counter example of a locally compact topological space which is not compact

Compactness of the Volterra opelator

About the compactness condition in Schauder fixed point theorem

Mary Ellen Rudin's proof that all metric space are paracompact

Some Questions from the proof of the result : The unit interval $\mathbb I = [0,1]$ is compact

Every locally compact space is compactly generated

Proof of the Lebesgue Covering Theorem

Disjoint compact subsets of a Hausdorff space are separated by disjoint open neighborhoods

"Heine–Borel" for the Sorgenfrey line

Counterexample on weaker version of result about compact sets

Show that f is onto.

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