Question

When a space is NOT locally compact, does it have dense remainder in its compactification?

score 139 · Answer 1 · 2021-08-24 10:57:14

139

Views

When a space is NOT locally compact, does it have dense remainder in its compactification?

Published on 24 Aug 2021 - 10:57

score 32 · Answer 2 · 2021-09-03 20:16:33

32

Views

$A_1, A_2 \subset X$ with disjoint closures in $X$, $cl_X(A_1)$ compact $\Rightarrow A_1, A_2$ have disjoint closures in $X_{\infty}$?

Published on 03 Sep 2021 - 20:16

score 75 · Answer 3 · 2021-09-10 10:34:53

75

Views

What is the most common name for topological compactifications?

Published on 10 Sep 2021 - 10:34

score 48 · Answer 4 · 2021-09-10 17:44:21

48

Views

Compactifications of a product of topological space with compact space?

Published on 10 Sep 2021 - 17:44

score 271 · Answer 5 · 2021-09-14 11:42:16

271

Views

Can we determine a number of objects in a category?

Published on 14 Sep 2021 - 11:42

score 118 · Answer 6 · 2021-09-27 15:20:17

118

Views

How to prove that $\beta X$ is the only H-compactification of $l^2$?

Published on 27 Sep 2021 - 15:20

score 45 · Answer 7 · 2021-10-02 14:31:31

45

Views

How to construct a homeomorphism with certain conditions on $\mathbb{R}$?

Published on 02 Oct 2021 - 14:31

score 48 · Answer 8 · 2021-10-09 07:26:41

48

Views

A question in compactifications in topology

Published on 09 Oct 2021 - 7:26

score 228 · Answer 9 · 2021-10-16 05:56:13

228

Views

Showing that $C_0 (X)^{+} \cong C_0 (X^{+}).$

Published on 16 Oct 2021 - 5:56

score 60 · Answer 10 · 2021-10-24 21:54:33

60

Views

About butterfly points and non normality.

Published on 24 Oct 2021 - 21:54

score 110 · Answer 11 · 2021-10-25 21:11:49

110

Views

Quotient Map From Compactification to One-Point Compactification

Published on 25 Oct 2021 - 21:11

score 64 · Answer 12 · 2021-12-07 08:07:42

64

Views

Every locally Compact Hausdorff Space is Regular.

Published on 07 Dec 2021 - 8:07

score 100 · Answer 13 · 2021-12-10 10:13:55

100

Views

Stone–Čech compactification of a Tychonoff space can be taken as closure of diagonal mapping image in Tychonoff cube

Published on 10 Dec 2021 - 10:13

score 138 · Answer 14 · 2021-12-16 22:28:25

138

Views

Show compactification of positive real plane is homeomorphic to $\Bbb R \Bbb P^2$

Published on 16 Dec 2021 - 22:28

score 190 · Answer 15 · 2021-12-22 14:49:15

190

Views

What does it mean that "compactification is defined only with respect to the topology of the base space"?

Published on 22 Dec 2021 - 14:49

List Question

When a space is NOT locally compact, does it have dense remainder in its compactification?

$A_1, A_2 \subset X$ with disjoint closures in $X$, $cl_X(A_1)$ compact $\Rightarrow A_1, A_2$ have disjoint closures in $X_{\infty}$?

What is the most common name for topological compactifications?

Compactifications of a product of topological space with compact space?

Can we determine a number of objects in a category?

How to prove that $\beta X$ is the only H-compactification of $l^2$?

How to construct a homeomorphism with certain conditions on $\mathbb{R}$?

A question in compactifications in topology

Showing that $C_0 (X)^{+} \cong C_0 (X^{+}).$

About butterfly points and non normality.

Quotient Map From Compactification to One-Point Compactification

Every locally Compact Hausdorff Space is Regular.

Stone–Čech compactification of a Tychonoff space can be taken as closure of diagonal mapping image in Tychonoff cube

Show compactification of positive real plane is homeomorphic to $\Bbb R \Bbb P^2$

What does it mean that "compactification is defined only with respect to the topology of the base space"?

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