Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4597300 | Journal of Pure and Applied Algebra | 2009 | 11 Pages |
Abstract
In this paper we prove two strict insertion theorems for frame homomorphisms. When applied to the frame of all open subsets of a topological space they are equivalent to the insertion statements of the classical theorems of Dowker and Michael regarding, respectively, normal countably paracompact spaces and perfectly normal spaces. In addition, a study of perfect normality for frames is made.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Javier Gutiérrez García, Tomasz Kubiak, Jorge Picado,