Question

1-point compactification of long line (long circle)?

score 263 · Answer 1 · 2021-07-19 11:59:37

263

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1-point compactification of long line (long circle)?

Published on 19 Jul 2021 - 11:59

score 67 · Answer 2 · 2021-07-25 09:25:38

67

Views

Riemann surface $\Gamma\backslash U$ for some subset $U$ of $\mathbb{C}$ on which a discrete subgroup $\Gamma$ of $SL(2, \mathbb{R})$ acts

Published on 25 Jul 2021 - 9:25

score 55 · Answer 3 · 2021-07-29 15:21:21

55

Views

Identify $\overline{\Bbb C^2}$ with $\Bbb S^4\subset\Bbb R^5$

Published on 29 Jul 2021 - 15:21

score 138 · Answer 4 · 2021-07-29 22:10:29

138

Views

What is the Bohr compactification of a topological group and in particular of the real line? How can you define it?

Published on 29 Jul 2021 - 22:10

score 208 · Answer 5 · 2026-03-27 03:41:15

208

Views

Why can any homeomorphism on a topological space can be extended to its Čech-Stone compactification?

Published on 27 Mar 2026 - 3:41

score 237 · Answer 6 · 2021-08-04 09:43:34

brief explanation of any compactification of a locally compact Hausdorff space X is a quotient space of its Stone-Chech Compactification

score 77 · Answer 7 · 2021-08-07 13:09:39

77

Views

Is there a $T_{3\frac{1}{2}}$ space such that all continuous real-valued functions are bounded?

Published on 07 Aug 2021 - 13:09

score 70 · Answer 8 · 2021-08-10 10:39:56

70

Views

Are only the closed subspaces of a compact space compact?

Published on 10 Aug 2021 - 10:39

score 132 · Answer 9 · 2021-08-16 09:09:40

132

Views

How to check universal property when constructing the Stone-Čech compactification?

Published on 16 Aug 2021 - 9:09

score 341 · Answer 10 · 2021-08-16 18:36:41

341

Views

Do Stone-Čech compactifications have property that disjoint closed subsets of $X$ have disjoint closures in $\beta X$?

Published on 16 Aug 2021 - 18:36

score 304 · Answer 11 · 2021-08-16 19:36:42

304

Views

How do you visualize Stone-Čech compactification (construction using the unit interval)?

Published on 16 Aug 2021 - 19:36

score 315 · Answer 12 · 2021-08-17 11:08:28

315

Views

What is a z-filter?

Published on 17 Aug 2021 - 11:08

score 68 · Answer 13 · 2021-08-17 12:03:18

68

Views

Proving Tychonoff's theorem using the Stone-Cech compactification

Published on 17 Aug 2021 - 12:03

score 158 · Answer 14 · 2026-03-27 04:15:14

158

Views

conformal compactification $\overline G$

Published on 27 Mar 2026 - 4:15

score 196 · Answer 15 · 2026-03-26 20:14:41

196

Views

Can we have a category of compactifications?

Published on 26 Mar 2026 - 20:14

List Question

1-point compactification of long line (long circle)?

Riemann surface $\Gamma\backslash U$ for some subset $U$ of $\mathbb{C}$ on which a discrete subgroup $\Gamma$ of $SL(2, \mathbb{R})$ acts

Identify $\overline{\Bbb C^2}$ with $\Bbb S^4\subset\Bbb R^5$

What is the Bohr compactification of a topological group and in particular of the real line? How can you define it?

Why can any homeomorphism on a topological space can be extended to its Čech-Stone compactification?

brief explanation of any compactification of a locally compact Hausdorff space X is a quotient space of its Stone-Chech Compactification

Is there a $T_{3\frac{1}{2}}$ space such that all continuous real-valued functions are bounded?

Are only the closed subspaces of a compact space compact?

How to check universal property when constructing the Stone-Čech compactification?

Do Stone-Čech compactifications have property that disjoint closed subsets of $X$ have disjoint closures in $\beta X$?

How do you visualize Stone-Čech compactification (construction using the unit interval)?

What is a z-filter?

Proving Tychonoff's theorem using the Stone-Cech compactification

conformal compactification $\overline G$

Can we have a category of compactifications?

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