Paper read at the Second Symposium on Categorical Topology at the University of Cape Town 9–13 August 1976

NORMAL NEARNESS SPACES

Published in: Quaestiones Mathematicae
Volume 2 , issue 1-3 , 1977 , pages: 23–43

DOI: 10.1080/16073606.1977.9632532

Author(s): H.L. Bentley Department of Mathematics, USA

Keywords: 54E15 , 54D15 , 54A05 , 54E99 , 18A4O

Abstract

A concept of normality for nearness spaces is introduced which agrees with the usual normality in the case of topological spaces, is hereditary, and is preserved under the taking of the nearness completion. It is proved that the nearness product of a regular contigual space and a normal nearness space is always normal. The locally fine nearness spaces are studied, particularly in relation to normality conditions.

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