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Expansions of algebraically closed fields in o-minimal structures

✍ Scribed by Y. Peterzil; S. Starchenko

Publisher
SP Birkhäuser Verlag Basel
Year
2001
Tongue
English
Weight
438 KB
Volume
7
Category
Article
ISSN
1022-1824

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📜 SIMILAR VOLUMES

Structure theorems for o-minimal expansi
Structure theorems for o-minimal expansions of groups
✍ Mario J. Edmundo 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 169 KB

Let R be an o-minimal expansion of an ordered group (R; 0; 1; +; ¡) with distinguished positive element 1: We ÿrst prove that the following are equivalent: (1) R is semi-bounded, (2) R has no poles, (3) R cannot deÿne a real closed ÿeld with domain R and order ¡, (4) R is eventually linear and (5) e

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