Hereditary interval algebras and cardinal characteristics of the continuum

نویسندگان

چکیده

An interval algebra is a Boolean which isomorphic to the of finite unions half-open intervals, linearly ordered set. hereditary if every subalgebra an algebra. We answer question M. Bekkali and S. Todorcevic, by showing that it consistent σ-centered size $$\mathfrak{b}$$ hereditary. also show there is, in ZFC, cardinality ℵ1.

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ژورنال

عنوان ژورنال: Israel Journal of Mathematics

سال: 2021

ISSN: ['1565-8511', '0021-2172']

DOI: https://doi.org/10.1007/s11856-021-2146-9