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 · 2026-03-26 04:53:30

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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 26 Mar 2026 - 4:53

score 43 · Answer 2 · 2026-03-26 04:53:44

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

Published on 26 Mar 2026 - 4:53

score 185 · Answer 3 · 2026-03-26 04:52:26

185

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

Published on 26 Mar 2026 - 4:52

score 144 · Answer 4 · 2026-03-26 06:31:14

144

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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 26 Mar 2026 - 6:31

score 52 · Answer 5 · 2026-05-10 20:29:39

52

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Commutativity in the Stone-Čech Compactification

Published on 10 May 2026 - 20:29

score 182 · Answer 6 · 2026-03-26 04:49:24

182

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One-point compactification and embedding in a cube

Published on 26 Mar 2026 - 4:49

score 252 · Answer 7 · 2026-04-30 12:59:18

252

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Why is $\beta \omega$ compact?

Published on 30 Apr 2026 - 12:59

score 1k · Answer 8 · 2026-04-14 08:48:50

1k

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Examples for Stone–Čech compactification

Published on 14 Apr 2026 - 8:48

score 1.6k · Answer 9 · 2026-04-14 16:59:13

1.6k

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one point compactification of discrete space

Published on 14 Apr 2026 - 16:59

score 45 · Answer 10 · 2026-04-16 05:52:50

45

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

Published on 16 Apr 2026 - 5:52

score 100 · Answer 11 · 2026-03-27 21:47:10

100

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

Published on 27 Mar 2026 - 21:47

score 51 · Answer 12 · 2026-03-26 04:56:41

51

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Connectedness of the One-Point Compactification

Published on 26 Mar 2026 - 4:56

score 59 · Answer 13 · 2026-03-26 08:16:44

59

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Recursive compactification: Is the direct limit still compact?

Published on 26 Mar 2026 - 8:16

score 49 · Answer 14 · 2026-05-05 23:28:49

49

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

Published on 05 May 2026 - 23:28

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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