Metrizable and $\mathbb {R}$-metrizable betweenness spaces
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- by Juraj Šimko PDF
- Proc. Amer. Math. Soc. 127 (1999), 323-325 Request permission
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 Zlatoš.References
Additional Information
- Juraj Šimko
- Affiliation: Department of Mathematics, Faculty of Chemical Technology, Slovak Technical University, 812 37 Bratislava, Slovakia
- Email: simko@cvt.stuba.sk
- Received by editor(s): April 2, 1997
- Received by editor(s) in revised form: May 15, 1997
- Communicated by: Carl G. Jockusch, Jr.
- © Copyright 1999 American Mathematical Society
- 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