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A coverage construction of the reals and the irrationals
Annals of Pure and Applied Logic 145 (2):176-203 (2007)
Abstract
I modify the standard coverage construction of the reals to obtain the irrationals. However, this causes a jump in ordinal complexity from ω+1 to ΩOther Versions
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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.
Pretopologies and a uniform presentation of sup-lattices, quantales and frames.Giulia Battilotti & Giovanni Sambin - 2006 - Annals of Pure and Applied Logic 137 (1-3):30-61.
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