The universal covering homomorphism in o‐minimal expansions of groups |
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Authors: | Mário J Edmundo Pantelis E Eleftheriou |
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Institution: | CMAF Universidade de Lisboa, Av. Prof. Gama Pinto 2, 1649‐003 Lisboa, Portugal |
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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 : → G is a locally definable covering homomorphism and π1(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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Keywords: | O‐minimal structures universal covers definable groups |
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