Question

Example 4, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: How is the one-point compactification of the real line homeomorphic with the circle?

score 1k · Answer 1 · 2019-04-06 08:13:42

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Example 4, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: How is the one-point compactification of the real line homeomorphic with the circle?

Published on 06 Apr 2019 - 8:13

score 42 · Answer 2 · 2019-05-10 15:09:24

42

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A $T_{3 \frac{1}{2}}$ Lindelöf space $X$ is normally placed in $\beta X$

Published on 10 May 2019 - 15:09

score 184 · Answer 3 · 2019-06-17 15:59:29

184

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Continuity on the one-point compactification of $R^n$

Published on 17 Jun 2019 - 15:59

score 143 · Answer 4 · 2019-07-18 12:24:13

143

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Is there any Hausdorff, $\sigma$-compact and nowhere locally compact space with every non dense open set not $\sigma$-compact?

Published on 18 Jul 2019 - 12:24

score 51 · Answer 5 · 2026-03-25 20:33:46

51

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Commutativity in the Stone-Čech Compactification

Published on 25 Mar 2026 - 20:33

score 181 · Answer 6 · 2019-09-25 07:11:58

181

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One-point compactification and embedding in a cube

Published on 25 Sep 2019 - 7:11

score 247 · Answer 7 · 2014-03-16 21:44:59

247

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Why is $\beta \omega$ compact?

Published on 16 Mar 2014 - 21:44

score 1k · Answer 8 · 2014-05-16 14:41:32

1k

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Examples for Stone–Čech compactification

Published on 16 May 2014 - 14:41

score 1.6k · Answer 9 · 2014-11-28 19:28:40

1.6k

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one point compactification of discrete space

Published on 28 Nov 2014 - 19:28

score 44 · Answer 10 · 2026-03-07 06:15:13

44

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Embeddings of stone-cech boundary of naturals in inseparable compact Hausdorff spaces

Published on 07 Mar 2026 - 6:15

score 99 · Answer 11 · 2019-10-16 00:07:12

99

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Trying to better understand conformally compactified Euclidean space into the unit ball

Published on 16 Oct 2019 - 0:07

score 50 · Answer 12 · 2019-10-25 20:54:24

50

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Connectedness of the One-Point Compactification

Published on 25 Oct 2019 - 20:54

score 58 · Answer 13 · 2019-10-30 18:30:01

58

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Recursive compactification: Is the direct limit still compact?

Published on 30 Oct 2019 - 18:30

score 48 · Answer 14 · 2019-11-01 03:11:05

48

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What kind of space is this, and how does one rigorously treat it?

Published on 01 Nov 2019 - 3:11

score 93 · Answer 15 · 2019-11-03 01:42:05

93

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Showing that the Stone Cech compatificacion is equivalent to Alexandroff under continuous maps.

Published on 03 Nov 2019 - 1:42

List Question

Example 4, Sec. 29, in Munkres' TOPOLOGY, 2nd ed: How is the one-point compactification of the real line homeomorphic with the circle?

A $T_{3 \frac{1}{2}}$ Lindelöf space $X$ is normally placed in $\beta X$

Continuity on the one-point compactification of $R^n$

Is there any Hausdorff, $\sigma$-compact and nowhere locally compact space with every non dense open set not $\sigma$-compact?

Commutativity in the Stone-Čech Compactification

One-point compactification and embedding in a cube

Why is $\beta \omega$ compact?

Examples for Stone–Čech compactification

one point compactification of discrete space

Embeddings of stone-cech boundary of naturals in inseparable compact Hausdorff spaces

Trying to better understand conformally compactified Euclidean space into the unit ball

Connectedness of the One-Point Compactification

Recursive compactification: Is the direct limit still compact?

What kind of space is this, and how does one rigorously treat it?

Showing that the Stone Cech compatificacion is equivalent to Alexandroff under continuous maps.

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