Pre-Hausdorff Spaces

Details Pre-Hausdorff Spaces Pre-Hausdorff Spaces

2008-03-07

arxiv.org/abs/0803.1175v1

Mathematics

General Topology

10 pages

Scientific paper

This paper introduces three separation conditions for topological spaces, called T_{0,1}, T_{0,2} ("pre-Hausdorff"), and T_{1,2}. These conditions generalize the classical T_(1) and T_(2) separation axioms, and they have advantages over them topologically which we discuss. We establish several different characterizations of pre-Hausdorff spaces, and a characterization of Hausdorff spaces in terms of pre-Hausdorff. We also discuss some classical Theorems of general topology which can or cannot be generalized by replacing the Hausdorff condition by pre-Hausdorff.

Affiliated with

Also associated with

No associations

Rating

Pre-Hausdorff Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pre-Hausdorff Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pre-Hausdorff Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-444993