Minimal properties between T1 and T2

被引：0

作者：

Alas, Ofelia T.

Wilson, Richard C.

机构：

[1] Univ Sao Paulo, Inst Matemat & Estatist, BR-05311970 Sao Paulo, Brazil

[2] Univ Autonoma Metropolitana, Dept Matemat, Unidad Iztapalapa, Mexico City 09340, DF, Mexico

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2006年 / 32卷 / 02期

关键词：

KC-space; US-space; SC-space; countable compactness; sequential compactness; sequential space; katetov KC-space;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A space is a US-space if every convergent sequence has a unique limit; it is an SC-space if each convergent sequence together with its limit is closed and is a KC-space if every compact subset is closed. We study the existence of spaces which are minimal with respect to these properties. We develop a number of results regarding minimal SC-spaces, we show that the class of infinite minimal US-spaces is empty and we give a consistent example of a Tychonoff topology which contains no minimal KC-topology.

引用

页码：493 / 504

页数：12

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