On densities of box products

被引：13

作者：

Gitik, M

Shelah, S

机构：

[1] Tel Aviv Univ, Sackler Fac Exact Sci, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] Hebrew Univ Jerusalem, Dept Math, IL-91904 Jerusalem, Israel

来源：

TOPOLOGY AND ITS APPLICATIONS | 1998年 / 88卷 / 03期

关键词：

density; box product;

D O I：

10.1016/S0166-8641(97)00176-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct two universes V-1, V-2 satisfying the following GCH below N-w, 2(Nw) = Nw+2 and the topological density of the space (Nw)2 with N-0 box product topology d(<N1) (N-w) is Nw+1 in V-1 and Nw+2 in V-2. Further related results are discussed as well. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：219 / 237

页数：19

共 16 条

[1]

CARTER F, 1978, GEN TOPOL APPL, V9, P307

[2]

Comfort W.W., 1972, Fundam. Math., V75, P275

[3] CARDINALITY CONSTRAINTS FOR PSEUDOCOMPACT AND FOR TOTALLY DENSE SUBGROUPS OF COMPACT TOPOLOGICAL-GROUPS [J].