Geodesic
More on the Kechris–Pestov–Todorcevic correspondence: Precompact expansions
L. Nguyen Van Thé1
1 Laboratoire d'Analyse, Topologie et Probabilités Université d'Aix-Marseille Centre de Mathématiques et Informatique 39, rue F. Joliot Curie 13453 Marseille Cedex 13, France
Fundamenta Mathematicae, Tome 222 (2013) no. 1, pp. 19-47.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In 2005, the paper [KPT05] by Kechris, Pestov and Todorcevic provided a powerful tool to compute an invariant of topological groups known as the universal minimal flow. This immediately led to an explicit representation of this invariant in many concrete cases. However, in some particular situations, the framework of [KPT05] does not allow one to perform the computation directly, but only after a slight modification of the original argument. The purpose of the present paper is to supplement [KPT05] in order to avoid that twist and to make it suitable for further applications.
DOI : 10.4064/fm222-1-2
Keywords: paper kpt kechris pestov todorcevic provided powerful tool compute invariant topological groups known universal minimal flow immediately led explicit representation invariant many concrete cases however particular situations framework kpt does allow perform computation directly only after slight modification original argument purpose present paper supplement kpt order avoid twist make suitable further applications

L. Nguyen Van Thé 1

1 Laboratoire d'Analyse, Topologie et Probabilités Université d'Aix-Marseille Centre de Mathématiques et Informatique 39, rue F. Joliot Curie 13453 Marseille Cedex 13, France 
@article{10_4064_fm222_1_2,
     author = {L. Nguyen Van Th\'e},
     title = {More on the {Kechris{\textendash}Pestov{\textendash}Todorcevic} correspondence: {Precompact} expansions},
     journal = {Fundamenta Mathematicae},
     pages = {19--47},
     publisher = {mathdoc},
     volume = {222},
     number = {1},
     year = {2013},
     doi = {10.4064/fm222-1-2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm222-1-2/}
}
TY  - JOUR
AU  - L. Nguyen Van Thé
TI  - More on the Kechris–Pestov–Todorcevic correspondence: Precompact expansions
JO  - Fundamenta Mathematicae
PY  - 2013
SP  - 19
EP  - 47
VL  - 222
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm222-1-2/
DO  - 10.4064/fm222-1-2
LA  - en
ID  - 10_4064_fm222_1_2
ER  - 
%0 Journal Article
%A L. Nguyen Van Thé
%T More on the Kechris–Pestov–Todorcevic correspondence: Precompact expansions
%J Fundamenta Mathematicae
%D 2013
%P 19-47
%V 222
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm222-1-2/
%R 10.4064/fm222-1-2
%G en
%F 10_4064_fm222_1_2
L. Nguyen Van Thé. More on the Kechris–Pestov–Todorcevic correspondence: Precompact expansions. Fundamenta Mathematicae, Tome 222 (2013) no. 1, pp. 19-47. doi : 10.4064/fm222-1-2. http://geodesic.mathdoc.fr/articles/10.4064/fm222-1-2/

Cité par Sources :