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.

引用

页码：1011 / 1014

页数：4

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