Invariantly universal analytic quasi-orders

DOI10.1090/S0002-9947-2012-05618-2zbMath1302.03051arXiv1003.4932OpenAlexW2067914503MaRDI QIDQ2839384

Alberto Marcone, Riccardo Camerlo, Luca Motto Ros

Publication date: 5 July 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.4932

zbMATH Keywords

completenessanalytic equivalence relationsdendritesBorel reducibilityseparable Banach spacesinvariant universalityanalytic quasi-orders(ultrametric) Polish spacescolored linear orders

Mathematics Subject Classification ID

Descriptive set theory (03E15)

Related Items (9)

DEGREE SPECTRA OF ANALYTIC COMPLETE EQUIVALENCE RELATIONS ⋮ Can we classify complete metric spaces up to isometry? ⋮ Souslin quasi-orders and bi-embeddability of uncountable structures ⋮ Uncountable structures are not classifiable up to bi-embeddability ⋮ On the complexity of the relations of isomorphism and bi-embeddability ⋮ Invariant universality for quandles and fields ⋮ On isometry and isometric embeddability between ultrametric Polish spaces ⋮ Polish metric spaces with fixed distance set ⋮ Universality of group embeddability

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Universality of embeddability relations for coloured total orders
• A Borel reductibility theory for classes of countable structures
• Analytic equivalence relations and bi-embeddability
• On the classification of Polish metric spaces up to isometry
• The complexity of continuous embeddability between dendrites
• Complete analytic equivalence relations
• On the complexity of the relations of isomorphism and bi-embeddability
• Classification problems in continuum theory
• Universal analytic preorders arising from surjective functions

This page was built for publication: Invariantly universal analytic quasi-orders