MINIMAL URYSOHN SPACES

被引：11
作者：
SCARBOROUGH, CT
机构：
[1] Mississippi State University, State College, MI
来源：
PACIFIC JOURNAL OF MATHEMATICS | 1968年 / 27卷 / 03期
关键词：
D O I：
10.2140/pjm.1968.27.611
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A topological space X is (1) H(i), (2) H(ii), (3) R(i), (4) R(ii) if (1) Every open filter on X has nonvoid adherence, (2) Every open filter on X with one-point adherence is convergent, (3) Every regular filter on X has nonvoid adherence, (4) Every regular filter on X with one point adherence is convergent. These properties, which were investigated by Scarborough and Stone in a recent paper, arose naturally from the study of minimal Hausdorff, H-closed, minimal regular and R-closed spaces. This paper investigates similar properties for minimal Urysohn and Urysohn closed spaces. © 1968 by Pacific Journal of Mathematics.
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页码：611 / +
页数：1
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