Duality Theories for Boolean Algebras with Operators

  • Steven Givant
Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Steven Givant
    Pages 1-60
  3. Steven Givant
    Pages 61-172
  4. Steven Givant
    Pages 173-217
  5. Back Matter
    Pages 219-233

About this book

Introduction

In this new text, Steven Givant—the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski—develops three theories of duality for Boolean algebras with operators. Givant addresses the two most recognized dualities (one algebraic and the other topological) and introduces a third duality, best understood as a hybrid of the first two. This text will be of interest to graduate students and researchers in the fields of mathematics, computer science, logic, and philosophy who are interested in exploring special or general classes of Boolean algebras with operators. Readers should be familiar with the basic arithmetic and theory of Boolean algebras, as well as the fundamentals of point-set topology.

Keywords

Boolean algebra algebraic duality hybrid duality relational structure topological duality weak compactifications

Authors and affiliations

  • Steven Givant
    • 1
  1. 1.Mills College Department of MathematicsOaklandUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-06743-8
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-06742-1
  • Online ISBN 978-3-319-06743-8
  • Series Print ISSN 1439-7382
  • Series Online ISSN 2196-9922
  • About this book