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Small inductive dimension and universality on frames
被引：0
作者：
Dimitrios N. Georgiou
Stavros D. Iliadis
Athanasios C. Megaritis
Fotini Sereti
机构：
[1] University of Patras,Department of Mathematics
[2] Moscow State University (M. V. Lomonosov),Department of General Topology and Geometry
[3] Technological Educational Institute of Peloponnese,Department of Computer Engineering
来源：
Algebra universalis
|
2019年
/
80卷
关键词：
Small inductive dimension of frames;
Universal frame;
Saturated class of frames;
06A06;
06D22;
06F30;
54H12;
54F05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper we prove that for a fixed integer or an ordinal α\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$\alpha $$\end{document} and a fixed infinite cardinal τ\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$\tau $$\end{document} the class of all regular frames of weight less than or equal to τ\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$\tau $$\end{document} with small inductive dimension less than or equal to α\documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$\alpha $$\end{document} is saturated and therefore, in this class of frames there exist universal elements.
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