Question

Showing $f:[0,1] \rightarrow \mathbb{R}$ has finitely many isolated zeros

score 195 · Answer 1 · 2026-03-28 23:10:29

195

Views

Showing $f:[0,1] \rightarrow \mathbb{R}$ has finitely many isolated zeros

Published on 28 Mar 2026 - 23:10

score 166 · Answer 2 · 2018-07-28 23:47:44

166

Views

Can we characterize the set $\{S \in GL_n(\mathbb C): SAS^{-1} \in M_n(\mathbb R)\}$

Published on 28 Jul 2018 - 23:47

score 437 · Answer 3 · 2026-04-02 01:56:04

437

Views

Is there a metric on the reals $\Bbb R$ so that a subset of $\Bbb R$ is open iff its complement is finite?

Published on 02 Apr 2026 - 1:56

score 84 · Answer 4 · 2018-07-29 03:22:02

84

Views

Find an equivalence relation ~ on [0,1] such that [0,1]/~ is homeomorphic to [0,1] x [0,1].

Published on 29 Jul 2018 - 3:22

score 284 · Answer 5 · 2026-04-11 07:17:27

284

Views

Elementary topology of $\mathbb C$: Union of 2 regions with nonempty intersection is a region

Published on 11 Apr 2026 - 7:17

score 99 · Answer 6 · 2026-04-06 18:13:43

99

Views

Topology of $(-2,-1) \cup D[0,1] \cup \{1,2\}$

Published on 06 Apr 2026 - 18:13

score 58 · Answer 7 · 2026-04-10 22:51:42

58

Views

About The Line In Star Domain

Published on 10 Apr 2026 - 22:51

score 141 · Answer 8 · 2026-04-09 09:21:58

141

Views

Scott topology vs the topology generated by the complements of principal ideals

Published on 09 Apr 2026 - 9:21

score 134 · Answer 9 · 2026-03-25 14:36:38

134

Views

Do $f(x)=3x+2^{\nu_2(x)}$ and $g(x)=3x+2^{\nu_2(x)}\cdot3^{\nu_3(x)}$ have compact support in $\Bbb Z_2$?

Published on 25 Mar 2026 - 14:36

score 208 · Answer 10 · 2026-03-25 01:38:04

208

Views

Transitivity of the action in definining principal bundles

Published on 25 Mar 2026 - 1:38

score 139 · Answer 11 · 2026-03-25 06:00:03

139

Views

Difference Between Zero-Dimensional and Totally Separated in the Plane

Published on 25 Mar 2026 - 6:00

score 75 · Answer 12 · 2018-07-29 23:14:55

75

Views

$\overline{E}$ is the smallest subset of X

Published on 29 Jul 2018 - 23:14

score 482 · Answer 13 · 2026-04-09 06:21:15

482

Views

Use of Arzela-Ascoli theorem to ensure that there is a subsequence of a sequence of functions that converges to an infinitely differentiable function.

Published on 09 Apr 2026 - 6:21

score 124 · Answer 14 · 2026-03-25 18:49:33

124

Views

Show that the set of $f\in L^{1}$ so that $f\notin L^{p}$ is residual.

Published on 25 Mar 2026 - 18:49

score 1.2k · Answer 15 · 2026-04-12 01:23:28

1.2k

Views

suspension of the torus

Published on 12 Apr 2026 - 1:23

List Question

Showing $f:[0,1] \rightarrow \mathbb{R}$ has finitely many isolated zeros

Can we characterize the set $\{S \in GL_n(\mathbb C): SAS^{-1} \in M_n(\mathbb R)\}$

Is there a metric on the reals $\Bbb R$ so that a subset of $\Bbb R$ is open iff its complement is finite?

Find an equivalence relation ~ on [0,1] such that [0,1]/~ is homeomorphic to [0,1] x [0,1].

Elementary topology of $\mathbb C$: Union of 2 regions with nonempty intersection is a region

Topology of $(-2,-1) \cup D[0,1] \cup \{1,2\}$

About The Line In Star Domain

Scott topology vs the topology generated by the complements of principal ideals

Do $f(x)=3x+2^{\nu_2(x)}$ and $g(x)=3x+2^{\nu_2(x)}\cdot3^{\nu_3(x)}$ have compact support in $\Bbb Z_2$?

Transitivity of the action in definining principal bundles

Difference Between Zero-Dimensional and Totally Separated in the Plane

$\overline{E}$ is the smallest subset of X

Use of Arzela-Ascoli theorem to ensure that there is a subsequence of a sequence of functions that converges to an infinitely differentiable function.

Show that the set of $f\in L^{1}$ so that $f\notin L^{p}$ is residual.

suspension of the torus

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