Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups (Lecture Notes in Mathematics)
Language: English
Published by Springer, 2017
- Softcover
- New
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- Title
- Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups (Lecture Notes in Mathematics)
- Author
- Wehrung, Friedrich
- Publisher
- Springer
- Publication year
- 2017
- Condition
- New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 331961598X
- ISBN 13
- 9783319615981
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.
"Synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About the title" may belong to another edition of this title.
Books Puddle
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