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A Nonstandard Compactness Criterion

✍ Scribed by Richard D. Benham


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
98 KB
Volume
48
Category
Article
ISSN
0044-3050

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πŸ“œ SIMILAR VOLUMES


A definable nonstandard enlargement
✍ Frederik Herzberg πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 135 KB

## Abstract This article establishes the existence of a definable (over ZFC), countably saturated nonstandard enlargement of the superstructure over the reals. This nonstandard universe is obtained as the union of an inductive chain of bounded ultrapowers (i.e. bounded with respect to the superstru

Addendum to β€œA definable nonstandard enl
✍ Frederik Herzberg πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 73 KB

## Abstract ŁoΕ›'s theorem for bounded __D__ ‐ultrapowers, __D__ being the ultrafilter introduced by Kanovei and Shelah [4], is established. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)