On CLOSED SUBSETS OF THE INTUITIONISTIC REALS
β Scribed by Robin J. Grayson
- Publisher
- John Wiley and Sons
- Year
- 1983
- Tongue
- English
- Weight
- 174 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## A NOTE ON REAL SUBSETS OF A RECURSIVELY SATURATED MODEL by ATHANASSIOS TZOWARAS in Thessaloniki (Greece) 9 0. Introduction Let L = [+, ., I , <, 0} be the language of Peano Arithmetic (PA) and let M be a countable recursively saturated model of PA. For every a E M let -a be the equivalence x -a
## Abstract It is consistent with constructive set theory (without Countable Choice, clearly) that the Cauchy reals (equivalence classes of Cauchy sequences of rationals) are not Cauchy complete. Related results are also shown, such as that a Cauchy sequence of rationals may not have a modulus of c
## Abstract We study the role the axiom of choice plays in the existence of some special subsets of β and its power set β(β).