A basic question on symmetry of metric space

Asked Aug 22 '13 at 10:44

Active Aug 22 '13 at 13:40

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In the metric space definiton, the second condition for a metric i.e. symmetry (d(p,q)=d(q,p)) is present. But, I have not seen any example where this condition has been used. Can anyone give any such example

Actually, in the analysis book of Rudin, all the theorems can be proved without using this property. I have not found any case where this property has been used. If anyone has any knowledge please share. What kind of results can't be proved using this property.

edited Aug 22 '13 at 11:21

asked Aug 22 '13 at 10:44

This page may be of interest to you: http://math.stackexchange.com/questions/23390/examples-of-non-symmetric-distances – Anthony Carapetis Aug 22 '13 at 11:10
@Anthony Carapetis: Thanks. But, I want to see some theorems where this property has been used to prove it. – Aug 22 '13 at 11:34
Possible duplicate of Examples of non symmetric distances – Nov 18 '18 at 15:49

A basic question on symmetry of metric space

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