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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

Name: Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups
Brand: Springer International Publishing AG
SKU: 16380772
Price: 51.56 EUR
Availability: InStock
Author: Friedrich Wehrung
ISBN: 9783319615981

Friedrich Wehrung

Language

English

Book Paperback

Libristo code: 16380772

Publishers Springer International Publishing AG, September 2017

Adopting a new universal algebraic approach, this book explores and consolidates the link between Ta... Full description

Libristo code: 16380772

125 b

51.56 €

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Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings. This is done via the study of a monoid invariant, defined on Boolean inverse semigroups, called the type monoid. The new techniques contrast with the currently available topological approaches. Many positive results, but also many counterexamples, are provided.