Question

Example of a metric on $\mathbb{R}^2$ that is not induced by any norm.

score 492 · Answer 1 · 2026-03-30 06:31:22

492

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Example of a metric on $\mathbb{R}^2$ that is not induced by any norm.

Published on 30 Mar 2026 - 6:31

score 162 · Answer 2 · 2018-09-01 03:17:01

162

Views

Difference in the definitions of density in topology?

Published on 01 Sep 2018 - 3:17

score 1.7k · Answer 3 · 2026-03-27 03:36:44

1.7k

Views

Is a nowhere dense set closed?

Published on 27 Mar 2026 - 3:36

score 108 · Answer 4 · 2018-09-02 05:57:44

108

Views

On separable metric spaces

Published on 02 Sep 2018 - 5:57

score 25 · Answer 5 · 2018-09-02 06:12:12

25

Views

closed and discrete subset of a metric space

Published on 02 Sep 2018 - 6:12

score 62 · Answer 6 · 2018-09-02 07:15:28

62

Views

Find a sequence converging to $\{1/k\}^{\infty}_{k=1}$ in $l^2$

Published on 02 Sep 2018 - 7:15

score 26 · Answer 7 · 2018-09-02 16:05:14

26

Views

What is the metric used here?

Published on 02 Sep 2018 - 16:05

score 294 · Answer 8 · 2018-09-03 19:46:03

294

Views

Distance from a point to a ball

Published on 03 Sep 2018 - 19:46

score 259 · Answer 9 · 2018-09-03 21:57:31

259

Views

reference to Cantor's intersection theorem in complete metric space.

Published on 03 Sep 2018 - 21:57

score 210 · Answer 10 · 2018-09-04 07:10:57

210

Views

A countable set in $\ell^\infty$ which is not dense

Published on 04 Sep 2018 - 7:10

score 79 · Answer 11 · 2026-03-30 08:16:22

79

Views

If $X$ is a non empty closed subset of $\mathbb{R}$ and $Y = [1,2]$ then $X+Y$ is closed.

Published on 30 Mar 2026 - 8:16

score 125 · Answer 12 · 2018-09-04 09:51:19

125

Views

What does a segment in the plane as a metric space defined by a $p$-norm look like?

Published on 04 Sep 2018 - 9:51

score 136 · Answer 13 · 2026-03-25 16:39:59

136

Views

Is $d((a_n),(b_n))=\sum 2^{-n}\lvert a_n-b_n\rvert$ a complete metric on $l^{\infty}$?

Published on 25 Mar 2026 - 16:39

score 39 · Answer 14 · 2018-09-04 14:32:52

39

Views

a condition for equivalency of two metrics

Published on 04 Sep 2018 - 14:32

score 68 · Answer 15 · 2026-03-25 16:44:22

68

Views

Distance making $(\mathbb{R} \setminus \mathbb{Z},d) $ complete and homeomorphic to $\mathbb{R}\times \mathbb{Z}$

Published on 25 Mar 2026 - 16:44

List Question

Example of a metric on $\mathbb{R}^2$ that is not induced by any norm.

Difference in the definitions of density in topology?

Is a nowhere dense set closed?

On separable metric spaces

closed and discrete subset of a metric space

Find a sequence converging to $\{1/k\}^{\infty}_{k=1}$ in $l^2$

What is the metric used here?

Distance from a point to a ball

reference to Cantor's intersection theorem in complete metric space.

A countable set in $\ell^\infty$ which is not dense

If $X$ is a non empty closed subset of $\mathbb{R}$ and $Y = [1,2]$ then $X+Y$ is closed.

What does a segment in the plane as a metric space defined by a $p$-norm look like?

Is $d((a_n),(b_n))=\sum 2^{-n}\lvert a_n-b_n\rvert$ a complete metric on $l^{\infty}$?

a condition for equivalency of two metrics

Distance making $(\mathbb{R} \setminus \mathbb{Z},d) $ complete and homeomorphic to $\mathbb{R}\times \mathbb{Z}$

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