Consequences of neocompact quantifier elimination
✍ Scribed by Stefano Baratella; Siu-Ah Ng
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 229 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0044-3050
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We provide some consequences of a Quantifier Elimination Property and related properties previously introduced (see [4]) in the setting of Banach space structures. We further consider some applications of quantifierfree definability, such as strict convexity via the definability of certain mapping and the continuity of definable functions.
📜 SIMILAR VOLUMES
## Abstract The theory of algebraically closed non‐Archimedean valued fields is proved to eliminate quantifiers in an analytic language similar to the one used by Cluckers, Lipshitz, and Robinson. The proof makes use of a uniform parameterized normalization theorem which is also proved in this pape
## Abstract We consider two‐sorted theories of vector spaces and prove a criterion for the assertion that such a theory allows elimination of quantifiers over vector variables.