Submaximal spaces and cardinal invariants

被引：0
|
作者：
Corral, Cesar [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Ctr Ciencias Matemat, Campus Morelia, Morelia 58089, Michoacan, Mexico
来源：
TOPOLOGY AND ITS APPLICATIONS | 2022年 / 314卷
关键词：
Submaximal spaces; Irresolvable space; Independent family; Disjointly tight;
D O I：
10.1016/j.topol.2022.108123
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a combinatorial characterization of countable submaximal subspaces of 2(kappa). Using a parametrized version of Mathias forcing, we prove that there exists a countable submaximal subspace of 2(omega)1 whilst c = omega(2) . Combining this with previous results, we construct a disjointly tight countable irresolvable space of weight < c, answering a question of Bella and Hrusak. (C) 2022 Elsevier B.V. All rights reserved.
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页数：8
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