Expansions of o-Minimal Structures by Iteration Sequences
β Scribed by Miller, Chris; Tyne, James
- Book ID
- 125855475
- Publisher
- University of Notre Dame
- Year
- 2006
- Tongue
- English
- Weight
- 166 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0029-4527
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let R be an o-minimal expansion of an ordered group (R; 0; 1; +; Β‘) with distinguished positive element 1: We ΓΏrst prove that the following are equivalent: (1) R is semi-bounded, (2) R has no poles, (3) R cannot deΓΏne a real closed ΓΏeld with domain R and order Β‘, (4) R is eventually linear and (5) e
## Abstract We study __Ο__βcategorical weakly oβminimal expansions of Boolean lattices. We show that a structure π = (__A__,β€, β) expanding a Boolean lattice (__A__,β€) by a finite sequence __I__ of ideals of __A__ closed under the usual Heyting algebra operations is weakly oβminimal if and only if