具有非闭偏序的可度量半拓扑半格

Q3 Mathematics
T. Banakh, S. Bardyla, A. Ravsky
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引用次数: 5

摘要

摘要我们构造了一个可度量的半拓扑半格X,其偏序P={(X,y)∈X×X:xy=X}是X×X的非闭稠密子集。作为副产物,我们发现了在集、作用、半群或半格上存在(可度量的)Hausdorff拓扑的充要条件,该拓扑具有一个规定的可数收敛序列族。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A metrizable semitopological semilattice with non-closed partial order
Abstract We construct a metrizable semitopological semilattice X whose partial order P = {(x, y) ∈ X × X : xy = x} is a non-closed dense subset of X × X. As a by-product we find necessary and sufficient conditions for the existence of a (metrizable) Hausdorff topology on a set, act, semigroup or semilattice, having a prescribed countable family of convergent sequences.
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来源期刊
Topological Algebra and its Applications
Topological Algebra and its Applications Mathematics-Algebra and Number Theory
CiteScore
1.20
自引率
0.00%
发文量
12
审稿时长
24 weeks
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