Question

Countable collection of open sets.

score 423 · Answer 1 · 2026-04-15 11:40:34

423

Views

Countable collection of open sets.

Published on 15 Apr 2026 - 11:40

score 1.2k · Answer 2 · 2026-04-14 12:09:59

1.2k

Views

Prove that complement of the interior equals closure of the complement

Published on 14 Apr 2026 - 12:09

score 32 · Answer 3 · 2026-05-10 20:08:26

32

Views

Why can('t) I map this closed subset of a product of compact sets to a non-compact set?

Published on 10 May 2026 - 20:08

score 477 · Answer 4 · 2026-04-14 18:43:28

477

Views

Why does the real projective plane / Boy surface look like this?

Published on 14 Apr 2026 - 18:43

score 92 · Answer 5 · 2026-04-11 22:30:03

92

Views

Are manifolds almost diffeomorphic to $\mathbb{R}^n$?

Published on 11 Apr 2026 - 22:30

score 504 · Answer 6 · 2026-04-14 09:02:12

504

Views

Is space $C[0,1]$ is Hausdorff?

Published on 14 Apr 2026 - 9:02

score 281 · Answer 7 · 2026-04-11 04:46:46

281

Views

Closed subset of $\mathbb R^2$

Published on 11 Apr 2026 - 4:46

score 330 · Answer 8 · 2026-04-12 12:15:55

330

Views

Topological entropy of a circle rotation

Published on 12 Apr 2026 - 12:15

score 658 · Answer 9 · 2026-04-12 07:06:44

658

Views

Why does the support must be closed?

Published on 12 Apr 2026 - 7:06

score 923 · Answer 10 · 2026-05-13 11:06:08

923

Views

Handle Decomposions for $2$ Manifolds

Published on 13 May 2026 - 11:06

score 978 · Answer 11 · 2026-04-14 21:04:33

978

Views

If $X$ is compact and Hausdorff, and $f:X\rightarrow Y$ is continuous, closed, and surjective, prove $Y$ is Hausdorff.

Published on 14 Apr 2026 - 21:04

score 102 · Answer 12 · 2026-04-30 08:06:21

102

Views

Closure of a set in a metric space.

Published on 30 Apr 2026 - 8:06

score 96 · Answer 13 · 2026-04-11 01:22:47

96

Views

Is my definition correct? How do I prove the finite union of elements of $\mathscr U$ lie in $\mathscr U$?

Published on 11 Apr 2026 - 1:22

score 221 · Answer 14 · 2026-05-10 18:30:39

221

Views

Show that $\{Z(p):p\in \mathscr P\}$ is a basis for the closed sets of some topology (Called the Zariski topology) on $\mathbb R^n$.

Published on 10 May 2026 - 18:30

score 600 · Answer 15 · 2026-04-13 16:31:08

600

Views

Difference between sequentially compact spaces and closed sets in $\mathbb{C}$

Published on 13 Apr 2026 - 16:31

List Question

Countable collection of open sets.

Prove that complement of the interior equals closure of the complement

Why can('t) I map this closed subset of a product of compact sets to a non-compact set?

Why does the real projective plane / Boy surface look like this?

Are manifolds almost diffeomorphic to $\mathbb{R}^n$?

Is space $C[0,1]$ is Hausdorff?

Closed subset of $\mathbb R^2$

Topological entropy of a circle rotation

Why does the support must be closed?

Handle Decomposions for $2$ Manifolds

If $X$ is compact and Hausdorff, and $f:X\rightarrow Y$ is continuous, closed, and surjective, prove $Y$ is Hausdorff.

Closure of a set in a metric space.

Is my definition correct? How do I prove the finite union of elements of $\mathscr U$ lie in $\mathscr U$?

Show that $\{Z(p):p\in \mathscr P\}$ is a basis for the closed sets of some topology (Called the Zariski topology) on $\mathbb R^n$.

Difference between sequentially compact spaces and closed sets in $\mathbb{C}$

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