Boolean Methods in the Theory of Vector Lattices

2006/05/01 by A. G. Kusraev, S. S. Kutateladze, Kusraev, A. G. +1
Computer Science · Mathematics · #46 A 40 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.math/0605030

openalex publication_date 2006/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is an overview of the recent results of interaction of Boolean valued analysis and vector lattice theory.

Related

• Some Aspects of Boolean Valued Analysis
• Atomicity of Boolean algebras and vector lattices in terms of order convergence
• The cd-index of the Boolean lattice
• Vector lattice approach to the Riesz and Stone Representation theorems
• The classification of Boolean degree 1 functions in high-dimensional finite vector spaces