Strongly almost disjoint sets and weakly uniform bases
逻辑
2016-09-07 v1 一般拓扑
摘要
A combinatorial principle CECA is formulated and its equivalence with GCH+ certain weakenings of Box_lambda for singular lambda is proved. CECA is used to show that certain ``almost point- < tau'' families can be refined to point- < tau families by removing a small set from each member of the family. This theorem in turn is used to show the consistency of ``every first countable T_1-space with a weakly uniform base has a point-countable base.''
引用
@article{arxiv.math/9803167,
title = {Strongly almost disjoint sets and weakly uniform bases},
author = {Zoltán Balogh and Sheldon W. Davis and Winfried Just and Saharon Shelah and Paul J. Szeptycki},
journal= {arXiv preprint arXiv:math/9803167},
year = {2016}
}