Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

AuthorSikorski, Roman. author
TitleBoolean Algebras [electronic resource] / by Roman Sikorski
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1960
Edition Second Edition
Connect to
Descript X, 237 p. online resource


There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due to M. H. STONE, whose papers have opened a new era in the developยญ ment of this theory. This work treats the set-theoretical aspect, with little mention being made of the algebraic one. The book is composed of two chapters and an appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only; a greater part of its contents can be found in the books of BIRKHOFF [2J and HERMES [IJ. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters I and II it suffices only to know fundamental notions from general set theory and set-theoretical topology. No knowยญ ledge of lattice theory or of abstract algebra is presumed. Less familiar topological theorems are recalled, and only a few examples use more advanced topological means; but these may be omitted. All theorems in both chapters are given with full proofs


Terminology and notation -- I. Finite joins and meets -- II. Infiinite joins and meets -- Append -- ยง 39. Relation to other algebras -- ยง 40. Applications to mathematical logic. Classical calculi -- ยง 41. Topology in Boolean algebras. Applications to non-classical logic -- ยง 42. Applications to measure theory -- ยง 43. Measurable functions and real homomorphisms -- ยง 44. Measurable functions. Reduction to continuous functions -- ยง 45. Applications to functional analysis -- ยง 46. Applications to foundations of the theory of probability -- ยง 47. Problems of effectivity -- List of symbols -- Author Index

Mathematics Mathematical logic Functions of real variables Mathematics Real Functions Mathematics general Mathematical Logic and Formal Languages


Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network


facebook   instragram