Question

Open subset of Euclidean space can't have non-spherical manifold compactification.

score 172 · Answer 1 · 2026-03-24 22:13:58

172

Views

Open subset of Euclidean space can't have non-spherical manifold compactification.

Published on 24 Mar 2026 - 22:13

score 354 · Answer 2 · 2018-01-21 20:57:15

354

Views

Proof of Lemma 13.1 in Munkres

Published on 21 Jan 2018 - 20:57

score 695 · Answer 3 · 2026-03-22 08:38:26

695

Views

Fixed points of simplicial maps

Published on 22 Mar 2026 - 8:38

score 690 · Answer 4 · 2026-03-25 13:53:04

690

Views

What is it, intuitively, that makes a structure "topological"?

Published on 25 Mar 2026 - 13:53

score 67 · Answer 5 · 2018-01-22 06:11:05

67

Views

Algorithm for finding a subbasis of a topological space

Published on 22 Jan 2018 - 6:11

score 1.9k · Answer 6 · 2026-03-22 00:33:43

1.9k

Views

f is a continuous function from (X,$\tau$) to {0,1} with discrete topology, if f non constant then (X,$\tau$) disconnected

Published on 22 Mar 2026 - 0:33

score 45 · Answer 7 · 2026-03-25 20:20:26

Prove that there exists $p\in \mathbb{S}^1$, that $f(p)=f(-p)$, where $f:\mathbb{S}^1\rightarrow \mathbb{R}$ be the continuous projection

score 169 · Answer 8 · 2026-03-25 04:25:15

169

Views

step in proof Spivak about partition of unity

Published on 25 Mar 2026 - 4:25

score 212 · Answer 9 · 2026-03-26 16:57:01

212

Views

Irreducible Curves over $k$ homeomorphic

Published on 26 Mar 2026 - 16:57

score 1.6k · Answer 10 · 2018-01-22 12:02:00

1.6k

Views

Density of a subset of a dense set

Published on 22 Jan 2018 - 12:02

score 2.6k · Answer 11 · 2018-01-22 15:42:21

2.6k

Views

If a compact set is covered by a finite union of open balls of same radii, can we always get a lesser radius?

Published on 22 Jan 2018 - 15:42

score 201 · Answer 12 · 2026-03-25 07:40:57

201

Views

normal doesn't imply paracompact

Published on 25 Mar 2026 - 7:40

score 120 · Answer 13 · 2018-01-22 18:00:23

120

Views

Explain precisely why a sequence is (not) continuous and differentiable.

Published on 22 Jan 2018 - 18:00

score 401 · Answer 14 · 2018-01-22 18:19:47

401

Views

Find the connected components of $ \ [0,1] \ $ with respect to the lower-limit topology $ \ \large T_{[,)} \ $

Published on 22 Jan 2018 - 18:19

score 173 · Answer 15 · 2026-03-20 08:03:42

173

Views

Homeomorphism between Smale set and $\{0,2\} ^{\mathbb{Z}}$

Published on 20 Mar 2026 - 8:03

List Question

Open subset of Euclidean space can't have non-spherical manifold compactification.

Proof of Lemma 13.1 in Munkres

Fixed points of simplicial maps

What is it, intuitively, that makes a structure "topological"?

Algorithm for finding a subbasis of a topological space

f is a continuous function from (X,$\tau$) to {0,1} with discrete topology, if f non constant then (X,$\tau$) disconnected

Prove that there exists $p\in \mathbb{S}^1$, that $f(p)=f(-p)$, where $f:\mathbb{S}^1\rightarrow \mathbb{R}$ be the continuous projection

step in proof Spivak about partition of unity

Irreducible Curves over $k$ homeomorphic

Density of a subset of a dense set

If a compact set is covered by a finite union of open balls of same radii, can we always get a lesser radius?

normal doesn't imply paracompact

Explain precisely why a sequence is (not) continuous and differentiable.

Find the connected components of $ \ [0,1] \ $ with respect to the lower-limit topology $ \ \large T_{[,)} \ $

Homeomorphism between Smale set and $\{0,2\} ^{\mathbb{Z}}$

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