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Sep 27, 2015 at 22:09 comment added Nik Weaver This sounds like a specific notion of distance within a lattice, not an algebraic context for general metric spaces.
Sep 27, 2015 at 19:05 history edited Włodzimierz Holsztyński CC BY-SA 3.0
added 160 characters in body
Sep 27, 2015 at 18:59 comment added Włodzimierz Holsztyński In Kaplansky's paper, given two elements $f\ g$ of a Kaplansky's lattice, distance $\ d := d(f\ g)\ $ is a non-negative real number such that $\ g-c\subseteq f\subseteq g+c\ $ for $\ c=d\ $ but not for any non-negative real number $\ c < d.\ $ In the general case of d-lattices the value $\ d\ $ may be infinite.
Sep 23, 2015 at 17:55 comment added Nik Weaver Do you mind explaining how this relates to "an algebraic context for metric spaces"? The word "metric" doesn't appear in Kaplansky's paper.
May 1, 2013 at 17:08 history edited Włodzimierz Holsztyński CC BY-SA 3.0
Eng. (for better?)
May 1, 2013 at 17:05 comment added Włodzimierz Holsztyński Done :-) (Hm, comments should be longer than just "done"; thus let me mention the obvious, that there is more to the given topic than provided by the references; but then, isn't it always like this?)
May 1, 2013 at 17:03 history edited Włodzimierz Holsztyński CC BY-SA 3.0
A total re-edition
Apr 7, 2013 at 4:57 history edited Włodzimierz Holsztyński CC BY-SA 3.0
typo
Apr 7, 2013 at 4:20 comment added Włodzimierz Holsztyński I'll provide exact references to the publications somewhat later.
Apr 7, 2013 at 4:18 history answered Włodzimierz Holsztyński CC BY-SA 3.0