Metrizable and 
-metrizable betweenness spaces
Author:
Juraj Simko
Journal:
Proc. Amer. Math. Soc. 127 (1999), 323-325
MSC (1991):
Primary 03B30, 03C52, 51F99
DOI:
https://doi.org/10.1090/S0002-9939-99-04515-3
MathSciNet review:
1458264
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Abstract | References | Similar Articles | Additional Information
Abstract: It is proved that the theory of the class of all betweenness spaces metrizable by real-valued metrics does not coincide with the theory of the class of all betweenness spaces metrizable by metrics taking values in any ordered field. This solves a problem raised by Mendris and Zlato\v{s}.
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Additional Information
Juraj Simko
Affiliation:
Department of Mathematics, Faculty of Chemical Technology, Slovak Technical University, 81237 Bratislava, Slovakia
Email:
simko@cvt.stuba.sk
DOI:
https://doi.org/10.1090/S0002-9939-99-04515-3
Keywords:
Betweenness relation,
metric,
ordered field,
elementary class
Received by editor(s):
April 2, 1997
Received by editor(s) in revised form:
May 15, 1997
Communicated by:
Carl G. Jockusch, Jr.
Article copyright:
© Copyright 1999
American Mathematical Society
