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A short proof of the Schröder–Simpson Theorem

Published online by Cambridge University Press:  02 December 2014

JEAN GOUBAULT-LARRECQ
JEAN GOUBAULT-LARRECQ*
Affiliation:
ENS Cachan, 61, Avenue du Président-Wilson, 94230 Cachan, France Email: goubault@lsv.ens-cachan.fr
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Abstract

We give a short and elementary proof of the Schröder–Simpson Theorem, which states that the space of all continuous maps from a given space X to the non-negative reals with their Scott topology is the cone-theoretic dual of the probabilistic powerdomain on X.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 25 , Issue 1 , January 2015 , pp. 1 - 5
Copyright
Copyright © Cambridge University Press 2014 

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