Article ID Journal Published Year Pages File Type
435737 Theoretical Computer Science 2008 8 Pages PDF
Abstract

We investigate constructively a pre-apartness structure that is classically important in the characterisation of compact proximity spaces, and that may help identify a good constructive notion of compactness for not-necessarily-uniform apartness spaces. In addition, we produce what may be the right notion of “nearness” in the theory of apartness spaces.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics