Generalising the fan theorem

Mathematical Logic Quarterly 63 (1-2):85-93 (2017)
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Abstract

We characterise the collections of infinite binary sequences that, when barred by a set of finite binary sequences, are also barred by a finite subset of such a set.

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References found in this work

Inductively generated formal topologies.Thierry Coquand, Giovanni Sambin, Jan Smith & Silvio Valentini - 2003 - Annals of Pure and Applied Logic 124 (1-3):71-106.
Sublocales in Formal Topology.Steven Vickers - 2007 - Journal of Symbolic Logic 72 (2):463 - 482.

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