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On some peculiar aspects of the constructive theory of point-free spaces

✍ Scribed by Giovanni Curi


Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
162 KB
Volume
56
Category
Article
ISSN
0044-3050

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✦ Synopsis


Abstract

This paper presents several independence results concerning the topos‐valid and the intuitionistic (generalised) predicative theory of locales. In particular, certain consequences of the consistency of a general form of Troelstra's uniformity principle with constructive set theory and type theory are examined (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)


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## Communicated by K. Guerlebeck As is well known, a possible generalization to R 4 of the classical Cauchy-Riemann system leads to the so-called Riesz system. The main goal of this paper is to construct explicitly a complete orthonormal system of polynomial solutions of this system with respect t