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

Published online by Cambridge University Press:  24 October 2008

G. S. Murchiston  and
M. G. Stanley
G. S. Murchiston
Affiliation:
Trinity College, Cambridge CB2 1TQ andWesleyan University, Middletown, CT 06457, U.S.A.
M. G. Stanley
Affiliation:
Trinity College, Cambridge CB2 1TQ andWesleyan University, Middletown, CT 06457, U.S.A.
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Extract

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.

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 95 , Issue 3 , May 1984 , pp. 421 - 422
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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