Article

The Stone-Čech compactification of a partial frame via ideals and cozero elements

Published in: Quaestiones Mathematicae
Volume 39 , issue 1 , 2016 , pages: 115–134

DOI: 10.2989/16073606.2015.1023866

Author(s): John Frith Department of Mathematics and Applied Mathematics, South Africa , Anneliese Schauerte Department of Mathematics and Applied Mathematics, South Africa

Keywords: 06A12 , 06B10 , 06D22 , 18A40 , 54B30 , 54D15 , 54D20 , 54D30 , 54D35 , 06A12 , 06B10 , 06D22 , 18A40 , 54B30 , 54D15 , 54D20 , 54D30 , 54D35

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Abstract

A partial frame is a meet-semilattice in which certain designated subsets are required to have joins, and finite meets distribute over these. The designated subsets are specified by means of a so-called selection function, denoted by S ; these partial frames are called S-frames.

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