A note on generic subsets of definable groups

Mário J. Edmundo; G. Terzo

Fundamenta Mathematicae (2011)

  • Volume: 215, Issue: 1, page 53-65
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Mário J. Edmundo, and G. Terzo. "A note on generic subsets of definable groups." Fundamenta Mathematicae 215.1 (2011): 53-65. <http://eudml.org/doc/283329>.

@article{MárioJ2011,
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.},
author = {Mário J. Edmundo, G. Terzo},
journal = {Fundamenta Mathematicae},
keywords = {o-minimal structures; definable groups},
language = {eng},
number = {1},
pages = {53-65},
title = {A note on generic subsets of definable groups},
url = {http://eudml.org/doc/283329},
volume = {215},
year = {2011},
}

TY - JOUR
AU - Mário J. Edmundo
AU - G. Terzo
TI - A note on generic subsets of definable groups
JO - Fundamenta Mathematicae
PY - 2011
VL - 215
IS - 1
SP - 53
EP - 65
AB - 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.
LA - eng
KW - o-minimal structures; definable groups
UR - http://eudml.org/doc/283329
ER -

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