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On O-Minimal Expansions of Archimedean Ordered Groups

✍ Scribed by Michael C. Laskowski and Charles Steinhorn

Book ID
120810315
Publisher
Association for Symbolic Logic
Year
1995
Tongue
English
Weight
348 KB
Volume
60
Category
Article
ISSN
0022-4812

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πŸ“œ SIMILAR VOLUMES

Structure theorems for o-minimal expansi
Structure theorems for o-minimal expansions of groups
✍ 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

The universal covering homomorphism in o
The universal covering homomorphism in o-minimal expansions of groups
✍ MΓ‘rio J. Edmundo; Pantelis E. Eleftheriou πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 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 $β†’ __G__ is a locally definable covering homomorphism and __Ο€__~1~(__G__) is isomorphic to the o‐min