Lecture Notes in Mathematics

Wehrung, Friedrich

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.

Details

Published by: Springer

Publication Date: 2017-09-10

Format: Paperback

ISBN-13: 9783319615981

DOI: 10.1007/978-3-319-61599-8

Dimensions: 235cm x155cm

Pages: 242