Semi-Hausdorff Spaces
- 1 August 1966
- journal article
- Published by Canadian Mathematical Society in Canadian Mathematical Bulletin
- Vol. 9 (3) , 353-356
- https://doi.org/10.4153/cmb-1966-045-1
Abstract
It is well-known that in a Hausdorff space, a sequence has at most one limit, but that the converse is not true. The condition that every sequence have at most one limit will be called the semi-Hausdorff condition. We will prove that the semi-Hausdorff condition is strictly stronger than the T1 -axiom and is thus between the T1 and T2 axioms. In this note, we investigate into some properties of the spaces satisfying the semi-Hausdorff condition.Keywords
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