On the Cauchy completeness of the constructive Cauchy reals

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On the Cauchy Completeness of the Constructive Cauchy Reals

Intuitionistic set theory without choice axioms does not prove that every Cauchy sequence of rationals has a modulus of convergence, or that the set of Cauchy sequences of rationals is Cauchy complete. Several other related non-provability results are also shown.

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ژورنال

عنوان ژورنال: MLQ

سال: 2007

ISSN: 0942-5616,1521-3870

DOI: 10.1002/malq.200710007