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Profinite posets

Published online by Cambridge University Press:  17 April 2009

T.P. Speed
T.P. Speed
Affiliation:
Department of Probability and Statistics, The University of Sheffield, Sheffield.
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Abstract

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The class of ordered topological spaces which are projective limits of finite partially ordered sets (equipped with the restriction of the product of the discrete topologies) is shown to coincide with the class of compact totally order-disconnected ordered topological spaces. Hence this is another category of spaces equivalent to the category of distributive lattices with zero and unit.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 2 , April 1972 , pp. 177 - 183
Copyright
Copyright © Australian Mathematical Society 1972

References

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