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The universal covering homomorphism in o‐minimal expansions of groups
Author(s) -
Edmundo Mário J.,
Eleftheriou Pantelis E.
Publication year - 2007
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200610051
Subject(s) - homomorphism , mathematics , combinatorics , group (periodic table) , discrete mathematics , pure mathematics , physics , quantum mechanics
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)
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