Vol. 23, No. 3, 1967

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ISSN: 0030-8730
Superatomic Boolean algebras

George Wesley Day

Vol. 23 (1967), No. 3, 479–489
Abstract

A Boolean algebra B can be imbedded in a complete Boolean algebra C in such a way that all homomorphisms of B into complete Boolean algebras can be extended to complete homomorphisms on C if and only if B is superatomic, that is, every homomorphic image of B is atomic. This paper is a study of the structure of superatomic Boolean algebras, through the development of techniques of construction and classification, and through the representation of these algebras as compact Hausdorff clairsemé spaces.

Mathematical Subject Classification
Primary: 06.60
Milestones
Received: 27 January 1967
Published: 1 December 1967
Authors
George Wesley Day