Topological separability and axioms of countability in
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Topological separability and axioms of countability in
Subspaces of LOTS are called GO-spaces (for "Generalised Ordered ... for spaces ordered by preferences, namely POTS (for "Preference-Ordered Topological.
BULL. AUSTRAL. MATH. SOC.
VOL. 55 (1997)
54FO5, 0 6 F 3 0 , 5 4 D 6 5 , 54D99
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TOPOLOGICAL SEPARABILITY AND AXIOMS OF COUNTABILITY IN GPO-SPACES J.C.R. ALCANTUD In this paper we obtain characterisations of first and second countability and separability for GPO-spaces, a class of topological spaces that include LOTS and GO-spaces. Some additional results concerning the transmission of these properties to weaker/finer topologies are derived in this framework. 1. INTRODUCTION
A LOTS (for "Linearly Ordered Topological Space") is a triple (X,
