Original Articles

Compactification and Closure

Published in: Quaestiones Mathematicae
Volume 23 , issue 4 , 2000 , pages: 529–545

DOI: 10.2989/16073600009485996

Author(s): David Holgate

Keywords: CLOSURE OPERATOR , COMPACTIFICATION , COMPLETION , FACTORISATION STRUCTURE , REFLECTION

Abstract

A topological space X is compact iff for any other space Y, the projection map π _Y : X × Y → Y is closed. Previous authors have used this characterisation, and the theory of categorical closure operators, to study compactness in a general setting.

« Sets which are dense in the space of all Pettis integrable functions

Preface »