The Mardesic conjecture for countably compact spaces

被引：1

作者：

Ishiu, Tetsuya ^{[1
]}

机构：

[1] Miami Univ, Dept Math, 301 S Patterson Ave, Oxford, OH 45056 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2023年 / 335卷

关键词：

The Mardesic conjecture; Linearly ordered topological spaces; Countably compact;

D O I：

10.1016/j.topol.2023.108596

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We shall show that if d and s are positive integers, Ki is a compact linearly ordered topological space for each i < d, X is a countably compact subspace of � Zj is an infinite Hausdorff space for each j < d + s, and f : X & RARR; � i<d Ki, continuous surjection, then there exist at least s + 1-many indexes j < d + s such that Zj is compact and metrizable. This improves the Mardesic Conjecture, which was proved by G. Martinez-Cervantes and G. Plebanek in [1]. & COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：19

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