Question

Uniqueness of one-point compactification, problem with proof

score 85 · Answer 1 · 2021-12-24 16:38:55

85

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Uniqueness of one-point compactification, problem with proof

Published on 24 Dec 2021 - 16:38

score 474 · Answer 2 · 2022-01-01 18:35:57

474

Views

Is Stone-Čech compactification the only one with universal property?

Published on 01 Jan 2022 - 18:35

score 158 · Answer 3 · 2022-01-06 20:50:38

158

Views

End space of non-compact 2-manifolds in terms of proper rays

Published on 06 Jan 2022 - 20:50

score 101 · Answer 4 · 2022-02-02 12:52:11

101

Views

Can the Alexandroff one-point and the Stone-Čech compactifications be defined as functors in the same category?

Published on 02 Feb 2022 - 12:52

score 85 · Answer 5 · 2026-03-26 07:58:28

85

Views

Methods to determine zero-dimensionality of the Alexandroff and Stone-Čech compactifications?

Published on 26 Mar 2026 - 7:58

score 131 · Answer 6 · 2022-02-23 12:42:14

131

Views

Alternate Stone-Čech compactification definition implies Hausdorffness of $\beta X$?

Published on 23 Feb 2022 - 12:42

score 56 · Answer 7 · 2026-03-26 09:33:56

56

Views

Algebraic Characterisation of the End Space of a proper geodesic space in terms of non-continuous functions

Published on 26 Mar 2026 - 9:33

score 43 · Answer 8 · 2022-03-13 23:18:22

43

Views

Resources/explanations for conformal geometry with “null cones at infinity”

Published on 13 Mar 2022 - 23:18

score 72 · Answer 9 · 2022-03-19 19:19:02

72

Views

A function in $C(Y)$ belongs to $C_0(X)$ if and only if $f(0)=0$

Published on 19 Mar 2022 - 19:19

score 143 · Answer 10 · 2022-04-03 19:37:28

143

Views

Confusion about Alexandroff Extension

Published on 03 Apr 2022 - 19:37

score 75 · Answer 11 · 2022-04-06 11:34:02

75

Views

Stone–Čech compactification and functions that separate points

Published on 06 Apr 2022 - 11:34

score 105 · Answer 12 · 2022-04-13 12:04:10

105

Views

Definition of Compactification in Munkres’ Topology

Published on 13 Apr 2022 - 12:04

score 58 · Answer 13 · 2022-04-25 09:41:32

Stone–Čech compactification whose input space is more general than being completely regular, and whose output space just locally compact Hausdorff?

score 98 · Answer 14 · 2022-04-25 15:38:43

98

Views

Is the Alexandroff one-point extension always compact?

Published on 25 Apr 2022 - 15:38

score 55 · Answer 15 · 2022-04-26 19:35:48

55

Views

If $E^\ast=E\cup\{Δ\}$ is the one-point compactification of $E$ and $x:[0,\infty)\to E^\ast$ is right-continuous, is $\inf\{t\ge0:x(t)=Δ\}$ attained?

Published on 26 Apr 2022 - 19:35

List Question

Uniqueness of one-point compactification, problem with proof

Is Stone-Čech compactification the only one with universal property?

End space of non-compact 2-manifolds in terms of proper rays

Can the Alexandroff one-point and the Stone-Čech compactifications be defined as functors in the same category?

Methods to determine zero-dimensionality of the Alexandroff and Stone-Čech compactifications?

Alternate Stone-Čech compactification definition implies Hausdorffness of $\beta X$?

Algebraic Characterisation of the End Space of a proper geodesic space in terms of non-continuous functions

Resources/explanations for conformal geometry with “null cones at infinity”

A function in $C(Y)$ belongs to $C_0(X)$ if and only if $f(0)=0$

Confusion about Alexandroff Extension

Stone–Čech compactification and functions that separate points

Definition of Compactification in Munkres’ Topology

Stone–Čech compactification whose input space is more general than being completely regular, and whose output space just locally compact Hausdorff?

Is the Alexandroff one-point extension always compact?

If $E^\ast=E\cup\{Δ\}$ is the one-point compactification of $E$ and $x:[0,\infty)\to E^\ast$ is right-continuous, is $\inf\{t\ge0:x(t)=Δ\}$ attained?

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