Question

Determine whether the differential operator is compact in the following cases

score 1.5k · Answer 1 · 2026-03-29 07:28:36

1.5k

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Determine whether the differential operator is compact in the following cases

Published on 29 Mar 2026 - 7:28

score 304 · Answer 2 · 2026-04-11 06:13:26

304

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Why Munkres §26 Exercise 11 is nontrivial?

Published on 11 Apr 2026 - 6:13

score 174 · Answer 3 · 2026-04-10 01:10:29

174

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Compact subsets in Topology of pointwise convergence

Published on 10 Apr 2026 - 1:10

score 536 · Answer 4 · 2026-04-17 05:17:24

536

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compactness of a sequence space

Published on 17 Apr 2026 - 5:17

score 300 · Answer 5 · 2026-04-12 22:53:53

300

Views

Show by using finite intersection property that( $\mathbb R$,d) is not compact.

Published on 12 Apr 2026 - 22:53

score 145 · Answer 6 · 2016-05-17 16:09:03

145

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$X,Y$ be metric spaces , $f:X \to Y$ be a continuous and closed map , then the boundary of $f^{-1}(\{y\})$ is compact for every $y \in Y$ ?

Published on 17 May 2016 - 16:09

score 4.4k · Answer 7 · 2026-04-13 22:05:51

4.4k

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Stone–Čech compactification of real line

Published on 13 Apr 2026 - 22:05

score 169 · Answer 8 · 2026-04-16 12:44:34

169

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Does there exist a compact metric space $X$ containing countably infinitely many clopen subsets?

Published on 16 Apr 2026 - 12:44

score 72 · Answer 9 · 2026-04-15 04:12:40

Show that for all compact $K$ and for all continuous function $f:X \to K$, there is $g: \overline{e(X)} \to K$ continuous with $g \circ e = f $.

score 304 · Answer 10 · 2026-04-16 13:20:26

304

Views

Compactness of infinite union under these conditions

Published on 16 Apr 2026 - 13:20

score 80 · Answer 11 · 2026-04-15 00:12:06

80

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Does there exist a continuous function $g:S^1 \to S^1$ such that $(g(z))^2=z , \forall z \in S^1$?

Published on 15 Apr 2026 - 0:12

score 459 · Answer 12 · 2026-04-10 19:51:45

459

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When is an Open Set Homeomorphic to the Interior of its Closure?

Published on 10 Apr 2026 - 19:51

score 1.5k · Answer 13 · 2026-04-17 01:57:24

1.5k

Views

If $X$ is locally compact Hausdorff, then $X$ is regular.

Published on 17 Apr 2026 - 1:57

score 619 · Answer 14 · 2026-04-11 04:04:59

619

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Ambiguity in definition of compactness

Published on 11 Apr 2026 - 4:04

score 79 · Answer 15 · 2026-04-09 04:54:15

79

Views

Hausdorff compact problem

Published on 09 Apr 2026 - 4:54

List Question

Determine whether the differential operator is compact in the following cases

Why Munkres §26 Exercise 11 is nontrivial?

Compact subsets in Topology of pointwise convergence

compactness of a sequence space

Show by using finite intersection property that( $\mathbb R$,d) is not compact.

$X,Y$ be metric spaces , $f:X \to Y$ be a continuous and closed map , then the boundary of $f^{-1}(\{y\})$ is compact for every $y \in Y$ ?

Stone–Čech compactification of real line

Does there exist a compact metric space $X$ containing countably infinitely many clopen subsets?

Show that for all compact $K$ and for all continuous function $f:X \to K$, there is $g: \overline{e(X)} \to K$ continuous with $g \circ e = f $.

Compactness of infinite union under these conditions

Does there exist a continuous function $g:S^1 \to S^1$ such that $(g(z))^2=z , \forall z \in S^1$?

When is an Open Set Homeomorphic to the Interior of its Closure?

If $X$ is locally compact Hausdorff, then $X$ is regular.

Ambiguity in definition of compactness

Hausdorff compact problem

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