Question

Understanding the proof of "continuous image of compact set is compact"

score 981 · Answer 1 · 2026-04-09 00:34:00

981

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Understanding the proof of "continuous image of compact set is compact"

Published on 09 Apr 2026 - 0:34

score 190 · Answer 2 · 2015-08-14 01:54:08

190

Views

Closure of set of vectors with norm 1 in $\mathbb{C}^n$

Published on 14 Aug 2015 - 1:54

score 331 · Answer 3 · 2026-04-12 02:24:56

331

Views

The assumption of nonemptiness in the theorem (3.10 from Rudin) about the intersection of nested compact sets

Published on 12 Apr 2026 - 2:24

score 238 · Answer 4 · 2026-04-10 00:39:38

238

Views

Does totally bounded imply covering compact?

Published on 10 Apr 2026 - 0:39

score 59 · Answer 5 · 2026-04-12 16:05:48

59

Views

Question on definition of a cover and results with compactness

Published on 12 Apr 2026 - 16:05

score 56 · Answer 6 · 2026-04-13 11:43:22

56

Views

Infinite set which is Dedekind finite and Weierstrass compactness

Published on 13 Apr 2026 - 11:43

score 3.4k · Answer 7 · 2026-04-12 15:10:48

3.4k

Views

Proof of the Banach–Alaoglu theorem

Published on 12 Apr 2026 - 15:10

score 292 · Answer 8 · 2026-04-11 09:41:43

292

Views

Squeezing an open set and a compact set between two sets

Published on 11 Apr 2026 - 9:41

score 285 · Answer 9 · 2015-08-15 21:48:07

285

Views

When only eventually constant sequences are convergent?

Published on 15 Aug 2015 - 21:48

score 437 · Answer 10 · 2026-04-11 22:05:48

437

Views

Open balls with radis $>\epsilon$ in a compact metric space

Published on 11 Apr 2026 - 22:05

score 186 · Answer 11 · 2026-03-31 06:57:17

186

Views

Does finite covering dimension imply local compactness?

Published on 31 Mar 2026 - 6:57

score 173 · Answer 12 · 2026-04-03 11:07:27

173

Views

Show that there exists a constant C depending on $U$ and $K$ such that $|f(z)| \leq C(\int_{U} |f|^2)^{1/2}$.

Published on 03 Apr 2026 - 11:07

score 447 · Answer 13 · 2026-04-02 21:51:52

447

Views

What is the sheafification of the presheaf of the one point compactification?

Published on 02 Apr 2026 - 21:51

score 199 · Answer 14 · 2015-08-20 13:02:30

199

Views

Continuity of a "minimal distance" projection $f:(X,d) \to (K, d_{|K})$ for a compact $K \subset X$. (Hint preferred)

Published on 20 Aug 2015 - 13:02

score 140 · Answer 15 · 2026-04-10 16:57:47

140

Views

Definition of compactness unnecessarily verbose?

Published on 10 Apr 2026 - 16:57

List Question

Understanding the proof of "continuous image of compact set is compact"

Closure of set of vectors with norm 1 in $\mathbb{C}^n$

The assumption of nonemptiness in the theorem (3.10 from Rudin) about the intersection of nested compact sets

Does totally bounded imply covering compact?

Question on definition of a cover and results with compactness

Infinite set which is Dedekind finite and Weierstrass compactness

Proof of the Banach–Alaoglu theorem

Squeezing an open set and a compact set between two sets

When only eventually constant sequences are convergent?

Open balls with radis $>\epsilon$ in a compact metric space

Does finite covering dimension imply local compactness?

Show that there exists a constant C depending on $U$ and $K$ such that $|f(z)| \leq C(\int_{U} |f|^2)^{1/2}$.

What is the sheafification of the presheaf of the one point compactification?

Continuity of a "minimal distance" projection $f:(X,d) \to (K, d_{|K})$ for a compact $K \subset X$. (Hint preferred)

Definition of compactness unnecessarily verbose?

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