PSEUDOFINITENESS AND MEASURABILITY OF THE EVERYWHERE INFINITE FOREST

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dc.contributor.authorDarío García
dc.contributor.authorMelissa Robles
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T19:52:13Z
dc.date.available2026-03-22T19:52:13Z
dc.date.issued2025
dc.description.abstractAbstract In this article we study the theories of the infinite-branching tree and the r -regular tree, and show that both of them are pseudofinite. Moreover, we show that they can be realized by infinite ultraproducts of polynomial exact classes of graphs, and provide a characterization of the Morley rank of definable sets in terms of the degrees of polynomials measuring their non-standard cardinalities. This answers negatively some questions from [2], where it is asked whether every stable generalised measurable structure is one-based.
dc.identifier.doi10.1017/jsl.2025.10172
dc.identifier.urihttps://doi.org/10.1017/jsl.2025.10172
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/78611
dc.language.isoen
dc.publisherCambridge University Press
dc.relation.ispartofJournal of Symbolic Logic
dc.sourceUniversidad de Los Andes
dc.subjectUltraproduct
dc.subjectMathematics
dc.subjectRank (graph theory)
dc.subjectCharacterization (materials science)
dc.subjectTree (set theory)
dc.subjectDiscrete mathematics
dc.subjectPolynomial
dc.subjectPure mathematics
dc.subjectAlgebra over a field
dc.subjectAlmost everywhere
dc.titlePSEUDOFINITENESS AND MEASURABILITY OF THE EVERYWHERE INFINITE FOREST
dc.typearticle

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