Resumen de Pointfree forms of Dowker's and Michael's insertion theorems

Francisco Javier Gutierrez García , Tomasz Kubiak , Jorge Picado

• 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.