Two applications of elementary submodels to partitions of topological spaces

被引：0

作者：

Schröder, J

Watson, S

机构：

[1] Univ Orange Free State, Dept Wiskunde, ZA-9300 Bloemfontein, South Africa

[2] York Univ, Dept Math, N York, ON M3J 1P3, Canada

来源：

CATEGORICAL STRUCTURES AND THEIR APPLICATIONS | 2004年

关键词：

elementary submodel; partition; cardinal invariant; quasilindelof; H-closed;

D O I：

10.1142/9789812702418_0021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We are looking at the sizes of partitions of topological spaces and show: No quasilin-delof space can be partitioned into more than 2140 sets Pi E P, where the character of P-i in X is countable and any two distinct P-i, P-j is an element of P can be separated by open sets with disjoint closure. No H-closed space can be partitioned into more than 2(N0) sets P-i is an element of P, where the character of P-i in X is countable and any two distinct P-i, P-j is an element of P can be separated by disjoint open sets.

引用

页码：285 / 289

页数：5