Maximal densely countably compact topologies

被引：1
|
作者：
Martinez-Cadena, J. A. [1 ]
Wilson, R. G. [1 ]
机构：
[1] Univ Autonoma Metropolitana, Dept Matemat, Unidad Iztapalapa, Ave San Rafael Atlixco,186 Apartado Postal 55532, Mexico City 09340, DF, Mexico
来源：
ACTA MATHEMATICA HUNGARICA | 2017年 / 151卷 / 02期
关键词：
SPACES;
D O I：
10.1007/s10474-016-0684-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A topological space X is densely countably compact if it possesses a dense subspace D with the property that every infinite subset of D has an accumulation point in X. We study topologies which are maximal with respect to this property; in particular we show that a T (1) densely countably compact space is maximal densely countably compact if and only if it is a scattered Fr,chet SC-space of scattering order 2.
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页码：259 / 270
页数：12
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