A note on generic subsets of definable groups

Mário J. Edmundo, Giuseppina Terzo

Type: Article

Publication Date: 2011-01-01

Citations: 5

DOI: https://doi.org/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.

Locations

Fundamenta Mathematicae - View - PDF

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Works Cited by This (19)

Action	Title	Year	Authors
+	Definably simple groups in o-minimal structures	2000	Ya’acov Peterzil Anthony L. Pillay Sergei Starchenko
+	Definable homomorphisms of abelian groups in o-minimal structures	1999	Ya’acov Peterzil Sergei Starchenko
+ PDF Chat	Generic sets in definably compact groups	2007	Ya’acov Peterzil Anand Pillay
+	Definable Compactness and Definable Subgroups of o-Minimal Groups	1999	Ya’acov Peterzil Charles Steinhorn
+ PDF Chat	SHEAF COHOMOLOGY IN o-MINIMAL STRUCTURES	2006	Mário J. Edmundo G. O. Jones Nicholas J. Peatfield
+	On groups and fields definable in o-minimal structures	1988	Anand Pillay
+	Forking and independence in o-minimal theories	2004	Alfred Dolich
+	Returning to semi-bounded sets	2009	Ya’acov Peterzil
+ PDF Chat	Comparison theorems for o-minimal singular (co)homology	2008	Mário J. Edmundo Arthur Woerheide
+ PDF Chat	O-MINIMAL CECH COHOMOLOGY	2007	Mário J. Edmundo Nicholas J. Peatfield