A ‘ T1’ space with no closed points, and a “ T1” locale which is not ‘ T1 ’

1 May 1984

journal article
research article
Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society

Vol. 95 (03) , 421-422
https://doi.org/10.1017/s0305004100061739

Abstract

In the theory of locales (or ‘pointless topology’), approximations to the Alexandrov-Hopf separation axioms have been considered by several authors [2,4,9,…]. The T1 axiom has proved more recalcitrant than the others; as yet, no-one has found a satisfactory lattice-theoretic condition of roughly the same strength.

Keywords

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