A metrizable semitopological semilattice with non-closed partial order
نویسندگان
چکیده
منابع مشابه
Basic Intervals in the Partial Order of Metrizable Topologies
For a set X, let Σm(X) denote the set of metrizable topologies on X, partially ordered by inclusion. We investigate the nature of intervals in this partial order, with particular emphasis on basic intervals (in other words, intervals in which the topology changes at at most one point). We show that there are no non-trivial finite intervals in Σm(X) (indeed, every such interval contains a copy o...
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ژورنال
عنوان ژورنال: Topological Algebra and its Applications
سال: 2020
ISSN: 2299-3231
DOI: 10.1515/taa-2020-0006