A note on the rank of diagonals

被引：2
|
作者：
Yu Zuoming [1 ]
Yun Ziqiu [1 ]
机构：
[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
TOPOLOGY AND ITS APPLICATIONS | 2010年 / 157卷 / 06期
基金：
美国国家科学基金会;
关键词：
Rank of diagonal; Submetrizability; Meta-lindelof; SPACES;
D O I：
10.1016/j.topo1.2010.01.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For each natural number k >= 4, we construct a Tychonoff space with a rank k-diagonal but without a rank (k + 1)-diagonal. This example proves a conjecture on rank of diagonal given by A.V. Arhangel'skii and R.Z. Buzyakova (2006) in [1] and answers some questions raised by them in the same paper. (C) 2010 Elsevier B.V. All rights reserved.
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页码：1011 / 1014
页数：4
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