Duality Between Uniform Spaces and Boolean Algebras

2011/03/25 by Van Name, Joseph
#06E15 #54E15 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1103.4987

Abstract

In this note we shall generalize the Stone duality between compact totally disconnected spaces and Boolean algebras to a duality between all complete non-Archimedean uniform spaces and Boolean algebras.

Related

• A Duality Between Non-Archimedean Uniform Spaces and Subdirect Powers of Full Clones
• Boolean sets, skew Boolean algebras and a non-commutative Stone duality
• Non-commutative Stone duality
• An isometrically universal Banach space induced by a non-universal Boolean algebra
• d-Boolean algebras and their bitopological representation