Question

Why the limit $\rho_2(i,-i)=0$?

score 64 · Answer 1 · 2018-07-17 12:21:32

64

Views

Why the limit $\rho_2(i,-i)=0$?

Published on 17 Jul 2018 - 12:21

score 2.8k · Answer 2 · 2026-04-10 14:35:53

2.8k

Views

All norms on $\mathbb{R}$ are equivalent.

Published on 10 Apr 2026 - 14:35

score 144 · Answer 3 · 2026-04-10 04:55:09

144

Views

Proof of Tychonoff's Theorem using subbasic open subsets

Published on 10 Apr 2026 - 4:55

score 300 · Answer 4 · 2026-04-09 01:23:39

300

Views

Realizing the Berkovich affine line as a union of Berkovich spectrums

Published on 09 Apr 2026 - 1:23

score 181 · Answer 5 · 2026-03-25 05:01:12

181

Views

Why the projective space $ \mathbb{P}^{1} $ is homeomorphic to $ S^{3}/S^{1} $?

Published on 25 Mar 2026 - 5:01

score 419 · Answer 6 · 2026-04-06 19:54:46

419

Views

Example of a proper surjection to Hausdorff space that is not perfect?

Published on 06 Apr 2026 - 19:54

score 295 · Answer 7 · 2026-03-25 06:05:32

295

Views

Check if convex polytope contained inside a union of convex polytopes?

Published on 25 Mar 2026 - 6:05

score 361 · Answer 8 · 2026-04-09 04:34:19

361

Views

If $H\leq G$, then $BH \to BG$ is a fiber bundle with fiber $G/H$

Published on 09 Apr 2026 - 4:34

score 268 · Answer 9 · 2026-04-03 09:26:29

268

Views

Can we continously map coefficients of characteristic polynomials to matrices with specified endpoints?

Published on 03 Apr 2026 - 9:26

score 336 · Answer 10 · 2018-07-17 20:41:30

336

Views

Constructing perfect set without rationals by removing open neighborhood around rationals

Published on 17 Jul 2018 - 20:41

score 368 · Answer 11 · 2026-04-08 08:25:22

368

Views

Question of whether two given spaces are homeomorphic.

Published on 08 Apr 2026 - 8:25

score 1.7k · Answer 12 · 2018-07-17 21:12:27

1.7k

Views

$f$ is continuous in $\mathbb{R}$ if and only if for every open set $G$, the set $f^{-1}(G)=\{x:f(x)\in G\} $ is open.

Published on 17 Jul 2018 - 21:12

score 78 · Answer 13 · 2018-07-17 21:45:21

$f$ is monotone increasing in $\mathbb{R}$ . Prove that the set $\{x: \forall \epsilon > 0, f(x+\epsilon)> f(x-\epsilon) \}$ is closed.

score 160 · Answer 14 · 2026-04-11 01:20:39

160

Views

Is every point of every open set $E \subset \mathbb{R^2}$ a limit point of $E$? [Proof Verification]

Published on 11 Apr 2026 - 1:20

score 990 · Answer 15 · 2026-04-11 02:51:14

990

Views

Are the spaces $\mathbb{H}^n$ and $\overline{\mathbb{R}}^n_+$ homeomorphic?

Published on 11 Apr 2026 - 2:51

List Question

Why the limit $\rho_2(i,-i)=0$?

All norms on $\mathbb{R}$ are equivalent.

Proof of Tychonoff's Theorem using subbasic open subsets

Realizing the Berkovich affine line as a union of Berkovich spectrums

Why the projective space $ \mathbb{P}^{1} $ is homeomorphic to $ S^{3}/S^{1} $?

Example of a proper surjection to Hausdorff space that is not perfect?

Check if convex polytope contained inside a union of convex polytopes?

If $H\leq G$, then $BH \to BG$ is a fiber bundle with fiber $G/H$

Can we continously map coefficients of characteristic polynomials to matrices with specified endpoints?

Constructing perfect set without rationals by removing open neighborhood around rationals

Question of whether two given spaces are homeomorphic.

$f$ is continuous in $\mathbb{R}$ if and only if for every open set $G$, the set $f^{-1}(G)=\{x:f(x)\in G\} $ is open.

$f$ is monotone increasing in $\mathbb{R}$ . Prove that the set $\{x: \forall \epsilon > 0, f(x+\epsilon)> f(x-\epsilon) \}$ is closed.

Is every point of every open set $E \subset \mathbb{R^2}$ a limit point of $E$? [Proof Verification]

Are the spaces $\mathbb{H}^n$ and $\overline{\mathbb{R}}^n_+$ homeomorphic?

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