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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups by Friedrich Wehrung
Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups by Friedrich Wehrung
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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups

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Description

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.
Release date NZ
September 10th, 2017
Audiences
  • Postgraduate, Research & Scholarly
  • Professional & Vocational
Edition
1st ed. 2017
Illustrations
5 Illustrations, black and white; VII, 242 p. 5 illus.
Pages
242
ISBN-13
9783319615981
Product ID
26834940

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