Original Articles

A GALOIS CORRESPONDENCE BETWEEN CLOSURE SPACES AND RELATIONAL SYSTEMS

Published in: Quaestiones Mathematicae
Volume 21 , issue 3-4 , 1998 , pages: 187–193

DOI: 10.1080/16073606.1998.9632039

Author(s): Josef Šlapel Department of Mathematics, Czech Republic

Keywords: Primary 54A05 , Secondary 54B30 , Primary 54A05 , Secondary 54B30

Abstract

For each ordinal α < 1 we define a Galois correspondence between the category of closure spaces (i.e. sets endowed with an extensive and monotone closure operation taking value θ at θ) and the category of α-ary mono-relational systems. These correspondences are studied.

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