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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups by Friedrich Wehrung 9783319615981
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Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups by Friedrich Wehrung 9783319615981

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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.

Book Information
ISBN 9783319615981
Author Friedrich Wehrung
Format Paperback
Page Count 242
Imprint Springer International Publishing AG
Publisher Springer International Publishing AG
Weight(grams) 3869g

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