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Mathematics | Duality Theories for Boolean Algebras with Operators

Duality Theories for Boolean Algebras with Operators

Givant, Steven

2014, XIV, 233 p.

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  • Present three theories of duality for Boolean algebras with operators
  • Features new results concerning the duality between various classes of Boolean algebras and classes of relational structures
  • Gathers together into a unified framework a number of disparate results appearing in the literature

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.

Content Level » Research

Keywords » Boolean algebra - algebraic duality - hybrid duality - relational structure - topological duality - weak compactifications

Related subjects » Algebra - Mathematics

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