Work

Ramsey precompact expansions of homogeneous directed graphs

Year: 2013

Type: preprint

Abstract: In 2005, Kechris, Pestov and Todorcevic provided a powerful tool to compute an invariant of topological groups known as the universal minimal flow, immediately leading to an explicit representation of this invariant in many concrete cases. More recently, the framework was generalized allowing for further applications, and the purpose of this paper is to apply these new methods in the context of homogeneous directed graphs. In this paper, we show that the age of any homogeneous directed graph allows a Ramsey precompact expansion. Moreover, we verify the relative expansion properties and consequently describe the respective universal minimal flows.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1310.6466

Authors: Jasiński, Jakub, Laflamme, Claude, Van Thé, Lionel Nguyen, Woodrow, Robert

Institutions: Centre National de la Recherche Scientifique, Aix-Marseille Université, Institut de Mathématiques de Marseille, Centrale Méditerranée, University of Calgary

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Agence Nationale de la Recherche, Natural Sciences and Engineering Research Council of Canada

Awards: Polish groups and Continuous logic, G5307529782

OpenAlex ID: W4298203683

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