Solimit Points and u-Extensions

被引：5

作者：

Ershov, Yu. L. ^{[1
,2
]}

机构：

[1] Sobolev Inst Math, Pr Akad Koptyuga 4, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Ul Pirogova 1, Novosibirsk 630090, Russia

来源：

ALGEBRA AND LOGIC | 2017年 / 56卷 / 04期

关键词：

solimit point; topological T-0-space; sober space; sobrification;

D O I：

10.1007/s10469-017-9450-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a characterization of u-extensions of topological T-0-spaces and also of sober spaces using a new concept of a solimit point. It is shown that the sobrification of an arbitrary T-0-space coincides with its greatest u-extension.

引用

页码：295 / 301

页数：7

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