Hereditary Interval Algebras and Cardinal Characteristics of the Continuum
Logic
2023-03-13 v1
Abstract
An interval algebra is a Boolean algebra which is isomorphic to the algebra of finite unions of half-open intervals, of a linearly ordered set. An interval algebra is hereditary if every subalgebra is an interval algebra. We answer a question of M. Bekkali and S. Todor\v{c}evi\'c, by showing that it is consistent that every -centered interval algebra of size is hereditary. We also show that there is, in ZFC, an hereditary interval algebra of cardinality
Keywords
Cite
@article{arxiv.1905.13398,
title = {Hereditary Interval Algebras and Cardinal Characteristics of the Continuum},
author = {Michael and Hrušák and Carlos and Martínez-Ranero and Ulises Ariet and Ramos-García},
journal= {arXiv preprint arXiv:1905.13398},
year = {2023}
}