Definably simple groups in o-minimal structures

By Ya'acov Peterzil, Anand Pillay, Sergei Starchenko. 2000

88 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c2d895de6b5a5daa99080b2746a2916c58f8a896

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Anand Pillay
2. Ehud Hrushovski
3. Ya'acov Peterzil
4. Sergei Starchenko

In Geometry and Topology

1. Ehud Hrushovski
2. Anand Pillay
3. Ya'acov Peterzil
4. Sergei Starchenko
5. Jonathan Pila
6. Hans Adler
7. Jacob Tsimerman
8. Bruno Klingler

In Mathematical Physics

1. Ehud Hrushovski
2. Anand Pillay
3. Ya'acov Peterzil
4. Hans Adler
5. Jacob Tsimerman
6. Jonathan Pila
7. Bruno Klingler
8. Pierre Simon

Citations in the corpus

• On NIP and invariant measures (2007, background): “25 of [27], a is “PS-nontrivial”, that is, there is some infinite open interval I containing an and a definable continuous function F : I × I → X, strictly monotone in each argument.”
• On central extensions and definably compact groups in o-minimal structures (2008, methodology): “We recall some facts about groups and Lie algebras, as presented in [18].”
• Simple algebraic and semialge-braic groups over real-closed elds (2000, background): “2 in [14] for the basic facts on groups definable in o-minimal structures.”