• Corpus ID: 17196250

An ordinal indexed hierarchy of separation properties

@inproceedings{Sexton2007AnOI,
  title={An ordinal indexed hierarchy of separation properties},
  author={R. A. Sexton and Harold Simmons},
  year={2007}
}
We refine and stratify the standard separation properties to produce a descending hierarchy between T3 and T1. The interpolated properties are related to the patch properties and the Vietoris modifications of the parent space. 
1 Citations

References

SHOWING 1-10 OF 14 REFERENCES
Two transfinite chains of separation conditions between T1 and T2
Two new families of separation conditions have arisen in the study of the impact that the algebraic properties of topological algebras have on the topologies that may occur on their underlying
A new look at Counterexamples in topology
The book Counterexamples in Topology is a useful catalogue of topological spaces and properties. This thesis extends that catalogue to the properties of sobriety and packedness, and describes some
Counterexamples in Topology
Sexton: A point-free and point-sensitive analysis of the patch assembly
  • Sexton: A point-free and point-sensitive analysis of the patch assembly
  • 2003
Johnstone: Stone spaces (Cambridge
  • 1982
Definition Bank " in General Topology, Topology Atlas Preprint no
  • Definition Bank " in General Topology, Topology Atlas Preprint no
Continuous Lattices and Related Topics, Mathematik Arbeitspapiere Nr
  • Continuous Lattices and Related Topics, Mathematik Arbeitspapiere Nr
  • 1982
editor): Continuous Lattices and Related Topics, Mathematik Arbeitspapiere Nr
  • Universität Bremen,
  • 1982
The Vietoris monad on the category of locales
  • The Vietoris monad on the category of locales
...
...