A+ CATEGORY SCIENTIFIC UNIT

A note on generic subsets of definable groups

Volume 215 / 2011

Mário J. Edmundo, G. Terzo Fundamenta Mathematicae 215 (2011), 53-65 MSC: 03C64, 20A15. DOI: 10.4064/fm215-1-3

Abstract

We generalize the theory of generic subsets of definably compact definable groups to arbitrary o-minimal structures. This theory is a crucial part of the solution to Pillay's conjecture connecting definably compact definable groups with Lie groups.

Authors

  • Mário J. EdmundoUniversidade Aberta
    and CMAF Universidade de Lisboa
    Av. Prof. Gama Pinto 2
    1649-003 Lisboa, Portugal
    e-mail
  • G. TerzoDepartment of Mathematics
    Seconda Università di Napoli
    Via Vivaldi 43
    81100 Caserta, Italy
    e-mail

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