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Proving that $\Bbb Q^n$ is dense in $\Bbb R^n$

score 308 · Answer 1 · 2026-03-25 06:19:49

308

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Proving that $\Bbb Q^n$ is dense in $\Bbb R^n$

Published on 25 Mar 2026 - 6:19

score 760 · Answer 2 · 2026-03-26 01:29:00

760

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Prove that $[0,\infty)$ is not homeomorphic to $\mathbb{R}$ without connectedness

Published on 26 Mar 2026 - 1:29

score 82 · Answer 3 · 2019-08-05 03:38:35

82

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Analysis I, Exercise II.I.10: There is no metric on $\mathbb R$ which is equivalent to the natural metric and which induces the metric $d$ on $X$

Published on 05 Aug 2019 - 3:38

score 183 · Answer 4 · 2019-08-05 18:01:14

183

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Is $\mathbb{R}$ complete when endowed with the metric $d (x,y) = |e^x- e^y|$?

Published on 05 Aug 2019 - 18:01

score 62 · Answer 5 · 2026-03-25 15:51:48

62

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Geometry of Induced Metric Space of Unweighted Bipartite Graphs

Published on 25 Mar 2026 - 15:51

score 2.7k · Answer 6 · 2019-08-05 19:38:51

2.7k

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what is the meaning of $C^0[0,1]$ , $C[0,1]$ and $C^1[0,1]$?

Published on 05 Aug 2019 - 19:38

score 59 · Answer 7 · 2019-08-05 23:41:29

True/false : The Space of all continiuos real valued functions with compact support with supnorm metric is complete .

score 791 · Answer 8 · 2019-08-06 07:10:25

791

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In a metric space the intersection of nested closed balls is empty.

Published on 06 Aug 2019 - 7:10

score 66 · Answer 9 · 2019-08-06 18:25:33

66

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Are the Given Metrics Complete or Not?

Published on 06 Aug 2019 - 18:25

score 140 · Answer 10 · 2026-03-31 11:54:25

140

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Is the distance of two affine subspaces in Hilbert space always attainable?

Published on 31 Mar 2026 - 11:54

score 92 · Answer 11 · 2019-08-06 22:17:16

92

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Is $(X,d)$ is complete? Yes/no

Published on 06 Aug 2019 - 22:17

score 108 · Answer 12 · 2026-04-01 09:33:11

108

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Existence of a strongly increasing sequence of compact subsets in a metric space

Published on 01 Apr 2026 - 9:33

score 134 · Answer 13 · 2026-04-08 16:41:53

134

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Understanding the closure, closed set theorem

Published on 08 Apr 2026 - 16:41

score 277 · Answer 14 · 2019-08-07 20:11:07

277

Views

Prove $\mathrm{Int}(A)=X-(X-A)^{-}$

Published on 07 Aug 2019 - 20:11

score 93 · Answer 15 · 2026-04-09 03:38:42

93

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A problem dealing with homeomorphism of metric spaces .

Published on 09 Apr 2026 - 3:38

List Question

Proving that $\Bbb Q^n$ is dense in $\Bbb R^n$

Prove that $[0,\infty)$ is not homeomorphic to $\mathbb{R}$ without connectedness

Analysis I, Exercise II.I.10: There is no metric on $\mathbb R$ which is equivalent to the natural metric and which induces the metric $d$ on $X$

Is $\mathbb{R}$ complete when endowed with the metric $d (x,y) = |e^x- e^y|$?

Geometry of Induced Metric Space of Unweighted Bipartite Graphs

what is the meaning of $C^0[0,1]$ , $C[0,1]$ and $C^1[0,1]$?

True/false : The Space of all continiuos real valued functions with compact support with supnorm metric is complete .

In a metric space the intersection of nested closed balls is empty.

Are the Given Metrics Complete or Not?

Is the distance of two affine subspaces in Hilbert space always attainable?

Is $(X,d)$ is complete? Yes/no

Existence of a strongly increasing sequence of compact subsets in a metric space

Understanding the closure, closed set theorem

Prove $\mathrm{Int}(A)=X-(X-A)^{-}$

A problem dealing with homeomorphism of metric spaces .

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