Question

Example of equivalent metrics on the same set such that uniform continuity of some function is not preserved

score 509 · Answer 1 · 2015-02-28 13:19:28

509

Views

Example of equivalent metrics on the same set such that uniform continuity of some function is not preserved

Published on 28 Feb 2015 - 13:19

score 54 · Answer 2 · 2015-03-13 13:45:07

54

Views

Is boundedness conserved under equivalent metrics?

Published on 13 Mar 2015 - 13:45

score 87 · Answer 3 · 2015-04-03 13:36:37

87

Views

Matrix equivalence independent of dimension

Published on 03 Apr 2015 - 13:36

score 103 · Answer 4 · 2015-05-19 13:15:50

103

Views

Topologically equivalent metrics, using different definitions.

Published on 19 May 2015 - 13:15

score 1.8k · Answer 5 · 2015-07-30 21:49:41

1.8k

Views

Strongly equivalent metrics are equivalent

Published on 30 Jul 2015 - 21:49

score 701 · Answer 6 · 2015-08-09 02:16:50

701

Views

When are norms not equivalent?

Published on 09 Aug 2015 - 2:16

score 197 · Answer 7 · 2015-08-18 21:42:06

197

Views

Equivalence between metrics, show that $d_1\sim d_2\sim d_3$.

Published on 18 Aug 2015 - 21:42

score 103 · Answer 8 · 2015-10-18 15:55:08

103

Views

Showing that $\|f\|_1$ is not equivalent to $\|f\|_2$

Published on 18 Oct 2015 - 15:55

score 553 · Answer 9 · 2015-11-26 14:37:30

553

Views

If $A$ is not totally bounded then $A$ has an infinite subset $B$ homeomorphic to a discrete space

Published on 26 Nov 2015 - 14:37

score 123 · Answer 10 · 2015-12-12 09:11:24

123

Views

Equivalence of norms on $W^{1, p}(I)$

Published on 12 Dec 2015 - 9:11

score 499 · Answer 11 · 2016-02-17 08:05:12

499

Views

Proof of equivalence of $\lambda$ norms in Sobolev space $H_0^1(\Omega)$

Published on 17 Feb 2016 - 8:05

score 703 · Answer 12 · 2016-02-24 01:21:56

703

Views

Equivalent norms without Cauchy-Schwarz inequality

Published on 24 Feb 2016 - 1:21

score 104 · Answer 13 · 2017-04-22 13:56:58

104

Views

$||.||_1\leq a||.||_2$. Do the cases $ a∈(0,1) $and $a∈[1,∞)$ matter to be open sets under these norms?

Published on 22 Apr 2017 - 13:56

score 2.2k · Answer 14 · 2017-05-05 12:26:59

2.2k

Views

Understanding the concepts of topologies and equivalent metrics

Published on 05 May 2017 - 12:26

score 97 · Answer 15 · 2017-05-13 23:18:31

97

Views

Showing that equivalent norms in $\mathbb{R^{n}}$ implies equivalent limits?

Published on 13 May 2017 - 23:18

List Question

Example of equivalent metrics on the same set such that uniform continuity of some function is not preserved

Is boundedness conserved under equivalent metrics?

Matrix equivalence independent of dimension

Topologically equivalent metrics, using different definitions.

Strongly equivalent metrics are equivalent

When are norms not equivalent?

Equivalence between metrics, show that $d_1\sim d_2\sim d_3$.

Showing that $\|f\|_1$ is not equivalent to $\|f\|_2$

If $A$ is not totally bounded then $A$ has an infinite subset $B$ homeomorphic to a discrete space

Equivalence of norms on $W^{1, p}(I)$

Proof of equivalence of $\lambda$ norms in Sobolev space $H_0^1(\Omega)$

Equivalent norms without Cauchy-Schwarz inequality

$||.||_1\leq a||.||_2$. Do the cases $ a∈(0,1) $and $a∈[1,∞)$ matter to be open sets under these norms?

Understanding the concepts of topologies and equivalent metrics

Showing that equivalent norms in $\mathbb{R^{n}}$ implies equivalent limits?

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