Question

$T_0$-Identification of a topological space

score 99 · Answer 1 · 2020-05-02 13:03:33

99

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$T_0$-Identification of a topological space

Published on 02 May 2020 - 13:03

score 101 · Answer 2 · 2020-05-03 01:14:11

101

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Verifying separation axioms for the product topology $\{0,1\}^J$

Published on 03 May 2020 - 1:14

score 398 · Answer 3 · 2020-05-13 09:00:41

398

Views

What quotient space of a non Hausdorff space can be a Hausdorff space?

Published on 13 May 2020 - 9:00

score 327 · Answer 4 · 2020-05-18 19:45:20

Prob. 4, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Satisfaction or otherwise of separation axioms as topology on a set become coarser or finer

score 71 · Answer 5 · 2026-02-23 04:47:28

71

Views

If a homotopy can be extended to a neighborhood of a closed subspace of a normal space $X$, then it can be extended to all of $X$.

Published on 23 Feb 2026 - 4:47

score 539 · Answer 6 · 2020-05-21 11:47:09

539

Views

Prob. 7 (a), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a Hausdorff space under a perfect map is also a Hausdorff space

Published on 21 May 2020 - 11:47

score 334 · Answer 7 · 2020-05-21 13:42:55

334

Views

Prob. 7 (b), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a regular space under a perfect map is also a regular space

Published on 21 May 2020 - 13:42

score 50 · Answer 8 · 2020-05-21 14:44:13

50

Views

Extension theorems in a topological space

Published on 21 May 2020 - 14:44

score 417 · Answer 9 · 2026-02-23 04:53:25

417

Views

Lower limit topology on $\mathbb R$ is regular

Published on 23 Feb 2026 - 4:53

score 318 · Answer 10 · 2020-06-17 20:19:54

318

Views

Proof Verification: Equivalent Definition for Locally Compact Hausdorff Space

Published on 17 Jun 2020 - 20:19

score 680 · Answer 11 · 2020-06-23 03:02:54

680

Views

Is a continuous image of a normal space normal?

Published on 23 Jun 2020 - 3:02

score 45 · Answer 12 · 2020-06-26 08:08:08

45

Views

A sufficient condition for a space not to be $T_1$ by a collection generating the topology.

Published on 26 Jun 2020 - 8:08

score 126 · Answer 13 · 2020-07-10 00:55:52

126

Views

Does every non-compact Tychonoff space admit an unbounded continuous function?

Published on 10 Jul 2020 - 0:55

score 54 · Answer 14 · 2020-07-12 22:33:12

54

Views

$X$ is a $T_1$ space but $X/$~ is not $T_0$: an example of a such space $X$?

Published on 12 Jul 2020 - 22:33

score 58 · Answer 15 · 2020-07-13 23:39:08

58

Views

Are T1 and T0 inheritable in the subspace and product topologies?

Published on 13 Jul 2020 - 23:39

List Question

$T_0$-Identification of a topological space

Verifying separation axioms for the product topology $\{0,1\}^J$

What quotient space of a non Hausdorff space can be a Hausdorff space?

Prob. 4, Sec. 31, in Munkres' TOPOLOGY, 2nd ed: Satisfaction or otherwise of separation axioms as topology on a set become coarser or finer

If a homotopy can be extended to a neighborhood of a closed subspace of a normal space $X$, then it can be extended to all of $X$.

Prob. 7 (a), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a Hausdorff space under a perfect map is also a Hausdorff space

Prob. 7 (b), Sec. 31, in Munkres' TOPOLOGY, 2nd ed: The image of a regular space under a perfect map is also a regular space

Extension theorems in a topological space

Lower limit topology on $\mathbb R$ is regular

Proof Verification: Equivalent Definition for Locally Compact Hausdorff Space

Is a continuous image of a normal space normal?

A sufficient condition for a space not to be $T_1$ by a collection generating the topology.

Does every non-compact Tychonoff space admit an unbounded continuous function?

$X$ is a $T_1$ space but $X/$~ is not $T_0$: an example of a such space $X$?

Are T1 and T0 inheritable in the subspace and product topologies?

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