Set theoretic and topological characterisations of ordered sets
Van Dalen and Wattel have shown that a space is LOTS (linearly orderable topological space) if and only if it has a T\(_1\)-separating subbase consisting of two interlocking nests. Given a collection of subsets \(\mathcal L\) of a set X, van Dalen and Wattel define an order \(\triangleleft\)\(_\math...
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University of Birmingham
2013
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| Online Access: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.575646 |