Work

Dimension and measure in pseudofinite H-structures

Year: 2020

Type: preprint

Abstract: We study H-structures associated to SU-rank 1 measurable structures. We prove that the SU-rank of the expansion is continuous and that it is uniformly definable in terms of the parameters of the formulas. We also introduce notions of dimension and measure for definable sets in the expansion and prove they are uniformly definable in terms of the parameters of the formulas.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2009.07331

Authors: Berentein, Alexander, Garcia, Dario, Zou, Tingxiang

Institutions: Lyon 1 Université, Centre National de la Recherche Scientifique

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Departamento Administrativo de Ciencia, Tecnología e Innovación (COLCIENCIAS), Agence Nationale de la Recherche, China Scholarship Council

Awards: G541584087, Valuations, Combinatorics and Model Theory

OpenAlex ID: W3086751653

Cites: 5

Cited by:

Related to: 10