Transitivity and the -space conjecture in ordered spaces

Author:
Jacob Kofner

Journal:
Proc. Amer. Math. Soc. **81** (1981), 629-635

MSC:
Primary 54F05; Secondary 54E15

DOI:
https://doi.org/10.1090/S0002-9939-1981-0601744-7

MathSciNet review:
601744

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Abstract | References | Similar Articles | Additional Information

Abstract: Each generalized ordered -space is nonarchimedean quasimetrizable. Moreover, each generalized ordered space is -transitive, i.e. for each neighbournet there is a transitive neighbournet .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1981-0601744-7

Keywords:
Quasimetric,
nonarchimedean,
-space,
ordered space,
transitive space,
neighbournet

Article copyright:
© Copyright 1981
American Mathematical Society