ON TOPOLOGICAL SPACES WITH A UNIQUE QUASI-PROXIMITY

Original Articles

ON TOPOLOGICAL SPACES WITH A UNIQUE QUASI-PROXIMITY

Published in: Quaestiones Mathematicae
Volume 17 , issue 4 , 1994 , pages: 479–486
DOI: 10.1080/16073606.1994.9631779
Author(s): Jesús Ferrer Departamento De Análisis Matemático, Spain

Abstract

Trying to solve the question of whether every T 1 topological space with a unique compatible quasi-proximity should be hereditarily compact, we show that it is true for product spaces as well as for locally hereditarily Lindelöf spaces.

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