Question

How to show that a set is closed?

score 147 · Answer 1 · 2018-02-14 16:26:57

147

Views

How to show that a set is closed?

Published on 14 Feb 2018 - 16:26

score 2.2k · Answer 2 · 2026-03-22 16:41:43

2.2k

Views

Compactness gives Second countable space??

Published on 22 Mar 2026 - 16:41

score 478 · Answer 3 · 2018-02-14 20:19:02

478

Views

Limit point compactness implies sequentially compact

Published on 14 Feb 2018 - 20:19

score 76 · Answer 4 · 2026-03-17 12:00:25

76

Views

Is there a better way - space is not path connected

Published on 17 Mar 2026 - 12:00

score 68 · Answer 5 · 2018-02-14 21:19:40

68

Views

Is (R,Tst) → (R,Tst) continuous/homeomorphism as of in topology?

Published on 14 Feb 2018 - 21:19

score 123 · Answer 6 · 2026-03-25 21:23:00

123

Views

About the proof of $\prod\overline A_{\alpha}\subset\overline{\prod A_{\alpha}}$

Published on 25 Mar 2026 - 21:23

score 57 · Answer 7 · 2018-02-14 22:49:18

57

Views

Prove that $IntCl(A)$ is regular open

Published on 14 Feb 2018 - 22:49

score 206 · Answer 8 · 2026-03-25 21:23:00

206

Views

About the proof of $\overline{\prod A_{\alpha}}\subset \prod\overline A_{\alpha}$

Published on 25 Mar 2026 - 21:23

score 73 · Answer 9 · 2018-02-15 01:06:43

73

Views

Are these two spaces $(\mathbb{R},T_\text{up})$ and $(\mathbb{R},T_\text{low})$ homeomorphic?

Published on 15 Feb 2018 - 1:06

score 93 · Answer 10 · 2018-02-15 02:23:07

93

Views

Proving continuity using the topological definition

Published on 15 Feb 2018 - 2:23

score 1.4k · Answer 11 · 2018-02-15 02:31:07

1.4k

Views

Show that a metric space $(X,d)$ is totally bounded if and only if the completion of $(X,d)$ is compact.

Published on 15 Feb 2018 - 2:31

score 451 · Answer 12 · 2018-02-15 03:18:12

451

Views

Is the step function continuous/homeomorphism?

Published on 15 Feb 2018 - 3:18

score 43 · Answer 13 · 2026-03-19 16:21:59

43

Views

Is there a time where the link of a subset is not equal to the boundary of its star?

Published on 19 Mar 2026 - 16:21

score 94 · Answer 14 · 2018-02-15 07:28:09

94

Views

Is this a valid topology?

Published on 15 Feb 2018 - 7:28

score 1.3k · Answer 15 · 2026-03-25 19:52:45

1.3k

Views

If $X$ is first-countable and for $x_n\to x$ we have that $f(x_n)\to f(x)$, then $f$ is continuous.

Published on 25 Mar 2026 - 19:52

List Question

How to show that a set is closed?

Compactness gives Second countable space??

Limit point compactness implies sequentially compact

Is there a better way - space is not path connected

Is (R,Tst) → (R,Tst) continuous/homeomorphism as of in topology?

About the proof of $\prod\overline A_{\alpha}\subset\overline{\prod A_{\alpha}}$

Prove that $IntCl(A)$ is regular open

About the proof of $\overline{\prod A_{\alpha}}\subset \prod\overline A_{\alpha}$

Are these two spaces $(\mathbb{R},T_\text{up})$ and $(\mathbb{R},T_\text{low})$ homeomorphic?

Proving continuity using the topological definition

Show that a metric space $(X,d)$ is totally bounded if and only if the completion of $(X,d)$ is compact.

Is the step function continuous/homeomorphism?

Is there a time where the link of a subset is not equal to the boundary of its star?

Is this a valid topology?

If $X$ is first-countable and for $x_n\to x$ we have that $f(x_n)\to f(x)$, then $f$ is continuous.

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