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Weakly o-Minimal Expansions of Boolean Algebras

✍ Scribed by Stefano Leonesi; Carlo Toffalori

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
223 KB
Volume
47
Category
Article
ISSN
0044-3050

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📜 SIMILAR VOLUMES

ω-categorical weakly o-minimal expansion
ω-categorical weakly o-minimal expansions of Boolean lattices
✍ Stefano Leonesi; Carlo Toffalori 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 150 KB

## Abstract We study __ω__‐categorical weakly o‐minimal expansions of Boolean lattices. We show that a structure 𝒜 = (__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

On the Boolean algebras of definable set
On the Boolean algebras of definable sets in weakly o-minimal theories
✍ Stefano Leonesi; Carlo Toffalori 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB 👁 1 views

## Abstract We consider the sets definable in the countable models of a weakly o‐minimal theory __T__ of totally ordered structures. We investigate under which conditions their Boolean algebras are isomorphic (hence __T__ is p‐__ω__‐categorical), in other words when each of these definable sets adm

The universal covering homomorphism in o
The universal covering homomorphism in o-minimal expansions of groups
✍ Mário J. Edmundo; Pantelis E. Eleftheriou 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 169 KB

## Abstract Suppose __G__ is a definably connected, definable group in an o‐minimal expansion of an ordered group. We show that the o‐minimal universal covering homomorphism $ \tilde p $: $ \tilde G $→ __G__ is a locally definable covering homomorphism and __π__~1~(__G__) is isomorphic to the o‐min