Which topologies can have immediate successors in the lattice of T1-topologies?

We give a new characterization of those topologies which have an immediate successor or cover in the lattice of T1-topologies on a set and show that certain classes of compact and countably compact topologies do not have covers.

Bibliographic Details
Main Authors: Ofelia T. Alas, Richard G. Wilson
Format: Article
Language:English
Published: Universitat Politècnica de València 2004-10-01
Series:Applied General Topology
Subjects:
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1972