Wider Thin-Very Tall Superatomic Boolean Algebras
Carmi Merimovich
TL;DR
This paper demonstrates the consistent existence of a specific type of superatomic Boolean algebra that is both very tall and thin for each regular cardinal greater than omega, expanding the understanding of Boolean algebra structures.
Contribution
It introduces the consistent existence of wider thin-very tall superatomic Boolean algebras for each regular cardinal greater than omega.
Findings
Existence of thin very tall superatomic Boolean algebras for each regular cardinal k > w
Construction methods for such Boolean algebras under set-theoretic assumptions
Extension of superatomic Boolean algebra theory to wider cardinals
Abstract
For each regular cardinal k > w we show the consistent existence of a thin very tall superatomic Boolean algebra of width k.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Computability, Logic, AI Algorithms