Boolean Algebras by Roman Sikorski

Boolean Algebras by Roman Sikorski

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 develop­ 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 [1]. 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 know­ 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.

SKU	Unavailable
ISBN 13	9783642858222
ISBN 10	3642858228
Title	Boolean Algebras
Author	Roman Sikorski
Series	Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 2 Folge
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Year published	2012-04-09
Number of pages	240
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable