𝔖 Bobbio Scriptorium
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Expansions of o-Minimal Structures by Iteration Sequences

✍ 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

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πŸ“œ SIMILAR VOLUMES


Structure theorems for o-minimal expansi
✍ Mario J. Edmundo πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 169 KB

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

Ο‰-categorical weakly o-minimal expansion
✍ Stefano Leonesi; Carlo Toffalori πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 150 KB

## Abstract We study __Ο‰__‐categorical weakly o‐minimal expansions of Boolean lattices. We show that a structure π’œ = (__A__,≀, ℐ) expanding a Boolean lattice (__A__,≀) by a finite sequence __I__ of ideals of __A__ closed under the usual Heyting algebra operations is weakly o‐minimal if and only if