1. Completely prime L -filters, irreducible L -filters and sobriety.
- Author
-
Jäger, Gunther and Yao, Wei
- Subjects
FILTERS (Mathematics) ,MATHEMATICS ,TOPOLOGICAL spaces ,FUNCTION spaces ,LATTICE theory - Abstract
In this paper, for a frameL, we characterize modified sobriety in stratifiedL-topological spaces and strongL-topological spaces internally using certain classes of stratifiedL-filters. While the first characterization using completely primeL-filters is trivial and applies to all stratifiedL-topological spaces, the other one using irreducibleL-filters generalizes an approach of R.E. Hoffmann to the lattice-valued case but is restricted to either the case that the lattice is a complete Boolean algebra or to the case of completely distributive lattices and strongL-topological spaces. [ABSTRACT FROM AUTHOR]
- Published
- 2016
- Full Text
- View/download PDF