1937/05/01 by M. H. Stone · 5 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Algebra over a field #Combinatorics #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Rings, Modules, and Algebras #Topology (electrical circuits)
paper · pdf · doi:10.2307/1989788
openalex publication_date 1937/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/03/11
The notations of the present paper are largely determined by the usages already established in R. Thus, for instance, in considering Boolean rings as abstract entities, we continue to use the symbols -, v , +, <, ' corresponding to the symbols , u , A, c, ', of the theory of classes.In the algebra of the closure operation, we write A~ in place of A for convenience in putting down the more complicated expressions such as A~'~'.The contents of the present paper may be summarized systematically under the following headings: Chapter I, Boolean spaces: 1, Introduction of topological concepts; 2, Relations between algebra and topology; 3, Universal Boolean rings and spaces.Chapter II, Maps in Boolean spaces: 1, The general theory of maps; 2, Construction of Boolean maps; 3, Relation between algebraic and other maps; 4, Applications to the theory of extensions; 5, Totally-disconnected and discrete spaces.Chapter III, Stronger separation conditions: 1