Some model theory of SL(2,ℝ)

• Autorzy: Jakub Gismatullin , Davide Penazzi , Anand Pillay
• Języki publikacji: EN

Abstrakty

EN

We study the action of G = SL(2,ℝ), viewed as a group definable in the structure M = (ℝ,+,×), on its type space $S_{G}(M)$. We identify a minimal closed G-flow I and an idempotent r ∈ I (with respect to the Ellis semigroup structure * on $S_{G}(M)$). We also show that the "Ellis group" (r*I,*) is nontrivial, in fact it is the group with two elements, yielding a negative answer to a question of Newelski.

Kategorie tematyczne

• 37B99: None of the above, but in this section
• 03C45: Classification theory, stability and related concepts
• 03C64: Model theory of ordered structures; o-minimality

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 229
• Numer: 2
• Strony: 117-128

Daty

wydano

2015

Twórcy

autor

Jakub Gismatullin

• Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

Davide Penazzi

• School of CEPS, University of Central Lancashire, Preston, PR1 2HE, UK

autor

Anand Pillay

• Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, U.S.A.

Identyfikatory

DOI

10.4064/fm229-2-2