Question

How to prove this subsets of $\mathbb{R}^n$ are homeomorphic to $\mathbb{R}^n$?

score 113 · Answer 1 · 2026-04-13 21:09:47

113

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How to prove this subsets of $\mathbb{R}^n$ are homeomorphic to $\mathbb{R}^n$?

Published on 13 Apr 2026 - 21:09

score 101 · Answer 2 · 2026-05-10 19:03:50

101

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example of a topological space which is Normal, locally contractible, semi locally simply connected but not a CW complex.

Published on 10 May 2026 - 19:03

score 37 · Answer 3 · 2026-04-17 13:36:26

37

Views

On the characterization of discs in dimension $\ge 6$

Published on 17 Apr 2026 - 13:36

score 301 · Answer 4 · 2026-04-13 22:10:05

301

Views

Prob. 5, Sec. 28, in Munkres' TOPOLOGY, 2nd ed: $X$ is countably compact iff any nested sequence of nonempty closed sets has nonempty intersection

Published on 13 Apr 2026 - 22:10

score 602 · Answer 5 · 2026-04-13 23:30:43

602

Views

Kernel is a closed subgroup of a topological group

Published on 13 Apr 2026 - 23:30

score 205 · Answer 6 · 2026-05-16 13:01:23

205

Views

How do I prove completeness / incompleteness on a set of functions?

Published on 16 May 2026 - 13:01

score 73 · Answer 7 · 2026-04-16 08:46:24

What are some interesting applications or properties of the topological residue of a set? Is it too similar to the boundary of a set?

score 1.8k · Answer 8 · 2026-04-13 20:54:09

1.8k

Views

Prob. 7 (a), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: A contraction of a compact metric space has a unique fixed point

Published on 13 Apr 2026 - 20:54

score 613 · Answer 9 · 2026-05-11 01:01:44

613

Views

What is the most expressive logic?

Published on 11 May 2026 - 1:01

score 224 · Answer 10 · 2026-04-14 07:48:31

224

Views

Topologies generated by the metric $d(x,y)=|f(x)-f(y)|$ for $f$ increasing function and euclidean metric are equivalent

Published on 14 Apr 2026 - 7:48

score 181 · Answer 11 · 2026-04-14 00:18:19

181

Views

Examples of minimal dynamical systems on a non-compact space

Published on 14 Apr 2026 - 0:18

score 312 · Answer 12 · 2026-04-16 13:10:48

312

Views

Bourbaki General Topology I: Exercise 20, sec. 8 ch.1

Published on 16 Apr 2026 - 13:10

score 146 · Answer 13 · 2026-04-16 15:31:59

146

Views

Show that a set of all limit points of subsequences is closed

Published on 16 Apr 2026 - 15:31

score 46 · Answer 14 · 2026-04-15 05:08:38

46

Views

If $T:X\to Y$ is linear and $T$ is $(\omega_X-\omega_Y)-$continuous, then $T$ is $(s_X-s_Y)-$continuous

Published on 15 Apr 2026 - 5:08

score 254 · Answer 15 · 2026-04-16 03:24:53

254

Views

A limit point of a set intersects the set in infinite points -- countable or uncountable or depends?

Published on 16 Apr 2026 - 3:24

List Question

How to prove this subsets of $\mathbb{R}^n$ are homeomorphic to $\mathbb{R}^n$?

example of a topological space which is Normal, locally contractible, semi locally simply connected but not a CW complex.

On the characterization of discs in dimension $\ge 6$

Prob. 5, Sec. 28, in Munkres' TOPOLOGY, 2nd ed: $X$ is countably compact iff any nested sequence of nonempty closed sets has nonempty intersection

Kernel is a closed subgroup of a topological group

How do I prove completeness / incompleteness on a set of functions?

What are some interesting applications or properties of the topological residue of a set? Is it too similar to the boundary of a set?

Prob. 7 (a), Sec. 28, in Munkres' TOPOLOGY, 2nd ed: A contraction of a compact metric space has a unique fixed point

What is the most expressive logic?

Topologies generated by the metric $d(x,y)=|f(x)-f(y)|$ for $f$ increasing function and euclidean metric are equivalent

Examples of minimal dynamical systems on a non-compact space

Bourbaki General Topology I: Exercise 20, sec. 8 ch.1

Show that a set of all limit points of subsequences is closed

If $T:X\to Y$ is linear and $T$ is $(\omega_X-\omega_Y)-$continuous, then $T$ is $(s_X-s_Y)-$continuous

A limit point of a set intersects the set in infinite points -- countable or uncountable or depends?

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