Question

Inverse function theorem via degree theory

score 219 · Answer 1 · 2026-03-26 18:08:26

219

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Inverse function theorem via degree theory

Published on 26 Mar 2026 - 18:08

score 66 · Answer 2 · 2018-01-24 14:05:12

66

Views

Basic topological sequence question

Published on 24 Jan 2018 - 14:05

score 120 · Answer 3 · 2018-01-24 15:53:01

$x \in \overline{A}$ with respect to the topology induced by a metric iff there exists a sequence of points in $A$ that converge to $x$.

score 386 · Answer 4 · 2026-03-26 18:57:18

386

Views

Determine the maximum period of this potential random number generator, if possible

Published on 26 Mar 2026 - 18:57

score 334 · Answer 5 · 2018-01-24 18:34:06

334

Views

Is this meaning of "smallest" and "largest'" topologies wrong?

Published on 24 Jan 2018 - 18:34

score 344 · Answer 6 · 2026-03-22 10:17:56

344

Views

Nowhere-differentiable Lipschitz-continuous function

Published on 22 Mar 2026 - 10:17

score 1.6k · Answer 7 · 2026-03-25 11:54:11

1.6k

Views

Fundamental group of the dunce hat

Published on 25 Mar 2026 - 11:54

score 523 · Answer 8 · 2026-03-22 22:17:39

523

Views

Why an ordered pair gives a torus?

Published on 22 Mar 2026 - 22:17

score 186 · Answer 9 · 2018-01-24 21:57:26

186

Views

Prove that the closure of any uncountable subset of $X$ is all of $X$.

Published on 24 Jan 2018 - 21:57

score 34 · Answer 10 · 2026-03-25 11:54:08

Can $\overline{X} \in \mathbb{RP}^3,\mathbb{R}^5,\mathbb{R}^2$ cover $X \in \mathbb{RP}^2, \mathbb{RP}^5, \mathbb{RP}^2 \setminus \{P\}$

score 767 · Answer 11 · 2026-03-23 01:24:27

767

Views

From $[0,1]\times [0,1]$ construct the Klein bottle

Published on 23 Mar 2026 - 1:24

score 85 · Answer 12 · 2018-01-25 04:12:50

85

Views

$E=\left\{ \frac{n}{n+1}:n\in\mathbb{N}\right\} $and $F=\left\{ \frac{1}{1-x}:0\leq x<1\right\} $ is open or closed?

Published on 25 Jan 2018 - 4:12

score 145 · Answer 13 · 2026-03-25 11:53:14

145

Views

Why some $A_i$ must have antipodal points?

Published on 25 Mar 2026 - 11:53

score 73 · Answer 14 · 2018-01-25 10:46:44

73

Views

Why does the author assumes convexity of a subspace while proving the connectivity of a linear continuum?

Published on 25 Jan 2018 - 10:46

score 1.1k · Answer 15 · 2026-03-17 09:53:48

1.1k

Views

Why the order square is not path-connected

Published on 17 Mar 2026 - 9:53

List Question

Inverse function theorem via degree theory

Basic topological sequence question

$x \in \overline{A}$ with respect to the topology induced by a metric iff there exists a sequence of points in $A$ that converge to $x$.

Determine the maximum period of this potential random number generator, if possible

Is this meaning of "smallest" and "largest'" topologies wrong?

Nowhere-differentiable Lipschitz-continuous function

Fundamental group of the dunce hat

Why an ordered pair gives a torus?

Prove that the closure of any uncountable subset of $X$ is all of $X$.

Can $\overline{X} \in \mathbb{RP}^3,\mathbb{R}^5,\mathbb{R}^2$ cover $X \in \mathbb{RP}^2, \mathbb{RP}^5, \mathbb{RP}^2 \setminus \{P\}$

From $[0,1]\times [0,1]$ construct the Klein bottle

$E=\left\{ \frac{n}{n+1}:n\in\mathbb{N}\right\} $and $F=\left\{ \frac{1}{1-x}:0\leq x<1\right\} $ is open or closed?

Why some $A_i$ must have antipodal points?

Why does the author assumes convexity of a subspace while proving the connectivity of a linear continuum?

Why the order square is not path-connected

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