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Every countably presented formal topology is spatial, classically
Journal of Symbolic Logic 71 (2):491-500 (2006)
Abstract
By using some classical reasoning we show that any countably presented formal topology, namely, a formal topology with a countable axiom set, is spatialLinks
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2010-08-24
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6 months
10 (#219,185)
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Citations of this work
Cantor theorem and friends, in logical form.Silvio Valentini - 2013 - Annals of Pure and Applied Logic 164 (4):502-508.
Constructive characterizations of bar subsets.Silvio Valentini - 2007 - Annals of Pure and Applied Logic 145 (3):368-378.
Objects: A Study in Kantian Formal Epistemology.Giovanni Boniolo & Silvio Valentini - 2012 - Notre Dame Journal of Formal Logic 53 (4):457-478.
Spatiality and classical logic.Milena Stefanova & Silvio Valentini - 2011 - Mathematical Logic Quarterly 57 (4):432-440.
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.
The problem of the formalization of constructive topology.Silvio Valentini - 2005 - Archive for Mathematical Logic 44 (1):115-129.
An Intuitionistic Version of Cantor's Theorem.Dario Maguolo & Silvio Valentini - 1996 - Mathematical Logic Quarterly 42 (1):446-448.
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