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The universal covering homomorphism in o-minimal expansions of groups

✍ Scribed by Mário J. Edmundo; Pantelis E. Eleftheriou


Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
169 KB
Volume
53
Category
Article
ISSN
0044-3050

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✦ Synopsis


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‐minimal fundamental group π (G) of G defined using locally definable covering homomorphisms. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)