Article contents
A general theory of separation, regularity, and connectedness properties
Published online by Cambridge University Press: 24 October 2008
Abstract
The notion of basic topological binary relations is introduced, and corresponding to each such relation we define -regularity, -connectedness, and a separation axiom . The family of separation axioms so obtained is shown to include all the standard axioms T0, T1, …, T5, while familiar properties such as hyperconnectedness and ultraconnectedness are among the class of connectedness conditions. The regularity conditions include R0, R1, and regularity itself.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 1 , July 1976 , pp. 81 - 90
- Copyright
- Copyright © Cambridge Philosophical Society 1976
References
REFERENCES
- 1
- Cited by