Finite Quasi-Uniform Extensions. I

被引：0
|
作者：
A. Losonczi
机构：
[1] Mézeskalács Tér 2.V.11,
来源：
Acta Mathematica Hungarica | 1998年 / 79卷
关键词：
Theoretic Property; Finite Extension; Compatible Extension; Lattice Theoretic Property; Prescribe Topology;
D O I：
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中图分类号：
学科分类号：
摘要：
Finite extensions of quasi-uniformities for prescribed topologies are examined. We present a necessary and sufficient condition for the existence of such an extension. We investigate the set of all compatible extensions and derive that this is a sup-distributive lattice. Then we examine the cardinalities and the lattice theoretic properties of these sets.
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页码：85 / 116
页数：31
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