Question

Is $[0,1) \times [0,1)$ locally compact?

score 211 · Answer 1 · 2019-12-27 11:02:34

211

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Is $[0,1) \times [0,1)$ locally compact?

Published on 27 Dec 2019 - 11:02

score 99 · Answer 2 · 2026-03-26 20:44:33

99

Views

Image of sphere is compact?

Published on 26 Mar 2026 - 20:44

score 121 · Answer 3 · 2019-12-27 18:15:34

121

Views

Is $X$ compact under these conditions?

Published on 27 Dec 2019 - 18:15

score 231 · Answer 4 · 2026-03-26 01:01:48

231

Views

Restriction of Continuous Function on Compact Hausdorff Space

Published on 26 Mar 2026 - 1:01

score 53 · Answer 5 · 2019-12-28 07:18:43

53

Views

What is the definition of Big $O$ notation in metric space

Published on 28 Dec 2019 - 7:18

score 68 · Answer 6 · 2019-12-30 02:55:07

68

Views

Relatively closed subsets of compact set is compact intuition

Published on 30 Dec 2019 - 2:55

score 1.6k · Answer 7 · 2019-12-30 11:53:20

1.6k

Views

(X,d) be a compact metric space. For every open cover, show there exists ε > 0 such that ∀ ∈ X, B(x,ε) is contained in some member of the cover.

Published on 30 Dec 2019 - 11:53

score 3.4k · Answer 8 · 2019-12-31 14:04:35

3.4k

Views

A continuous function on a compact set is bounded and attains a maximum and minimum: "complex version" of the extreme value theorem?

Published on 31 Dec 2019 - 14:04

score 1.1k · Answer 9 · 2026-03-26 09:48:20

1.1k

Views

Extension of a continuous function between topological spaces to their one-point compactification

Published on 26 Mar 2026 - 9:48

score 42 · Answer 10 · 2026-03-31 04:20:42

42

Views

Finite Subset In Compact Metrizable Space

Published on 31 Mar 2026 - 4:20

score 1.5k · Answer 11 · 2020-01-04 19:02:02

1.5k

Views

What makes an interval compact or non-compact?

Published on 04 Jan 2020 - 19:02

score 65 · Answer 12 · 2020-01-05 15:20:23

65

Views

For what values of $\alpha$ is this set compact?

Published on 05 Jan 2020 - 15:20

score 339 · Answer 13 · 2020-01-06 12:39:26

339

Views

continuous maps compact set to compact set.

Published on 06 Jan 2020 - 12:39

score 39 · Answer 14 · 2020-01-06 16:21:32

39

Views

Proving power series $\sum a_n (x-a)^n$ converges uniformly on every compact subset of $(a-R, a+R)$ where $R$ is the radius of convergence

Published on 06 Jan 2020 - 16:21

score 84 · Answer 15 · 2020-01-06 21:13:47

84

Views

Image of closed sets under a continuous function

Published on 06 Jan 2020 - 21:13

List Question

Is $[0,1) \times [0,1)$ locally compact?

Image of sphere is compact?

Is $X$ compact under these conditions?

Restriction of Continuous Function on Compact Hausdorff Space

What is the definition of Big $O$ notation in metric space

Relatively closed subsets of compact set is compact intuition

(X,d) be a compact metric space. For every open cover, show there exists ε > 0 such that ∀ ∈ X, B(x,ε) is contained in some member of the cover.

A continuous function on a compact set is bounded and attains a maximum and minimum: "complex version" of the extreme value theorem?

Extension of a continuous function between topological spaces to their one-point compactification

Finite Subset In Compact Metrizable Space

What makes an interval compact or non-compact?

For what values of $\alpha$ is this set compact?

continuous maps compact set to compact set.

Proving power series $\sum a_n (x-a)^n$ converges uniformly on every compact subset of $(a-R, a+R)$ where $R$ is the radius of convergence

Image of closed sets under a continuous function

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