Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups 1st ed. 2017 Edition

Ebook Details

Authors

Friedrich Wehrung

Year 2017
Pages 242
Publisher Springer
Language en
ISBN 9783319615981
File Size 2.38 MB
File Format PDF
Download Counter 95
Amazon Link

Ebook 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.