Question

Functions agreeing on dense sets: weakest separation axiom

score 344 · Answer 1 · 2018-04-03 15:09:13

344

Views

Functions agreeing on dense sets: weakest separation axiom

Published on 03 Apr 2018 - 15:09

score 51 · Answer 2 · 2018-04-20 10:35:35

51

Views

Is {x : ϕ(x)} a set with ϕ(x) being the property: ∀y (x ∈ y)

Published on 20 Apr 2018 - 10:35

score 166 · Answer 3 · 2018-04-21 22:48:10

166

Views

Is the set of all the subsets of a completely separable space still completely separable?

Published on 21 Apr 2018 - 22:48

score 154 · Answer 4 · 2018-05-07 15:52:00

154

Views

$T_1$-space with compact dense subset

Published on 07 May 2018 - 15:52

score 344 · Answer 5 · 2018-05-13 14:51:39

344

Views

A regular, non-Hausdorff, non-normal space

Published on 13 May 2018 - 14:51

score 164 · Answer 6 · 2018-05-15 04:24:26

164

Views

Separating closed sets by clopen sets in $\omega_1$.

Published on 15 May 2018 - 4:24

score 279 · Answer 7 · 2018-05-20 02:49:38

279

Views

Completely Regular space and the topology $\tau_A$

Published on 20 May 2018 - 2:49

score 47 · Answer 8 · 2018-05-28 14:28:21

47

Views

Canonical example of non-Hausdorff Ellis group

Published on 28 May 2018 - 14:28

score 422 · Answer 9 · 2018-05-29 03:52:12

422

Views

Showing that intersection of arbitrarily many compact sets in Hausdorff space is compact.

Published on 29 May 2018 - 3:52

score 101 · Answer 10 · 2018-05-29 13:21:41

101

Views

$R_0$ space with Hausdorff quotient

Published on 29 May 2018 - 13:21

score 876 · Answer 11 · 2018-06-02 16:36:17

876

Views

Example of a compact subset that is not closed

Published on 02 Jun 2018 - 16:36

score 1.9k · Answer 12 · 2018-06-10 21:00:28

1.9k

Views

If product space of two spaces is normal, then are the two spaces normal?

Published on 10 Jun 2018 - 21:00

score 34 · Answer 13 · 2018-06-12 13:10:52

34

Views

A space $X$ with property that all compact subspaces are closed.

Published on 12 Jun 2018 - 13:10

score 1.8k · Answer 14 · 2018-06-12 15:10:33

1.8k

Views

A confusion regarding proof of "Every regular second countable space is normal", given in Munkres

Published on 12 Jun 2018 - 15:10

score 70 · Answer 15 · 2018-06-12 22:23:24

70

Views

Finding a topology doesn't convey Hausdorff property by an injective continuous function

Published on 12 Jun 2018 - 22:23

List Question

Functions agreeing on dense sets: weakest separation axiom

Is {x : ϕ(x)} a set with ϕ(x) being the property: ∀y (x ∈ y)

Is the set of all the subsets of a completely separable space still completely separable?

$T_1$-space with compact dense subset

A regular, non-Hausdorff, non-normal space

Separating closed sets by clopen sets in $\omega_1$.

Completely Regular space and the topology $\tau_A$

Canonical example of non-Hausdorff Ellis group

Showing that intersection of arbitrarily many compact sets in Hausdorff space is compact.

$R_0$ space with Hausdorff quotient

Example of a compact subset that is not closed

If product space of two spaces is normal, then are the two spaces normal?

A space $X$ with property that all compact subspaces are closed.

A confusion regarding proof of "Every regular second countable space is normal", given in Munkres

Finding a topology doesn't convey Hausdorff property by an injective continuous function

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