Question

Misunderstanding about continuous functions over open and closed sets

score 45 · Answer 1 · 2026-04-01 02:52:29

45

Views

Misunderstanding about continuous functions over open and closed sets

Published on 01 Apr 2026 - 2:52

score 49 · Answer 2 · 2026-04-01 02:46:43

49

Views

Is there a quick way to see that this function is continuous?

Published on 01 Apr 2026 - 2:46

score 2.2k · Answer 3 · 2026-03-25 18:49:04

2.2k

Views

Finding all the maximal ideals of $C([0,1])$ and also prime ideals in it which are not maximal

Published on 25 Mar 2026 - 18:49

score 336 · Answer 4 · 2018-04-18 15:44:27

336

Views

$U \subset \mathbb R^n$ is an open set, $f \in C^1(U, \mathbb R^m)$. If $E \subset U$ is a null set, then $f(E)$ is also a null set.

Published on 18 Apr 2018 - 15:44

score 107 · Answer 5 · 2026-03-26 01:14:50

107

Views

How does one prove the finite intersection property using Limit Point Compactness?

Published on 26 Mar 2026 - 1:14

score 53 · Answer 6 · 2018-04-18 16:22:07

53

Views

Intersection between a set and its boundary is a closed set?

Published on 18 Apr 2018 - 16:22

score 187 · Answer 7 · 2018-04-18 17:12:47

187

Views

To prove that a set is connected in the space

Published on 18 Apr 2018 - 17:12

score 464 · Answer 8 · 2026-03-25 09:31:56

464

Views

A path connected, locally path connected has a universal covering space implies that the space is semi-locally simply connected

Published on 25 Mar 2026 - 9:31

score 318 · Answer 9 · 2026-03-23 07:01:55

318

Views

Sub-sigma-algebras: infinite coin flips example on wikipedia

Published on 23 Mar 2026 - 7:01

score 227 · Answer 10 · 2026-04-02 08:52:52

227

Views

A Cech-complete subspace is a $G_\delta$ in its closure

Published on 02 Apr 2026 - 8:52

score 1.3k · Answer 11 · 2026-03-26 04:28:51

1.3k

Views

Open sets containing closed set which contain open sets

Published on 26 Mar 2026 - 4:28

score 50 · Answer 12 · 2018-04-19 06:19:22

50

Views

Uniform continuity of the min of two continuous functions

Published on 19 Apr 2018 - 6:19

score 294 · Answer 13 · 2018-04-19 09:04:00

294

Views

Proof of compactness by Borel-Lebesgue theorem

Published on 19 Apr 2018 - 9:04

score 55 · Answer 14 · 2018-04-19 09:31:21

55

Views

Generating a subbasis from a Topology

Published on 19 Apr 2018 - 9:31

score 51 · Answer 15 · 2026-03-25 07:42:37

51

Views

Basic topology - can we find such a cover always

Published on 25 Mar 2026 - 7:42

List Question

Misunderstanding about continuous functions over open and closed sets

Is there a quick way to see that this function is continuous?

Finding all the maximal ideals of $C([0,1])$ and also prime ideals in it which are not maximal

$U \subset \mathbb R^n$ is an open set, $f \in C^1(U, \mathbb R^m)$. If $E \subset U$ is a null set, then $f(E)$ is also a null set.

How does one prove the finite intersection property using Limit Point Compactness?

Intersection between a set and its boundary is a closed set?

To prove that a set is connected in the space

A path connected, locally path connected has a universal covering space implies that the space is semi-locally simply connected

Sub-sigma-algebras: infinite coin flips example on wikipedia

A Cech-complete subspace is a $G_\delta$ in its closure

Open sets containing closed set which contain open sets

Uniform continuity of the min of two continuous functions

Proof of compactness by Borel-Lebesgue theorem

Generating a subbasis from a Topology

Basic topology - can we find such a cover always

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