Overview

Editors:

• Jean Marcel Pallo1,
• Jim Stasheff2

1. Folkert Müller-Hoissen

for Dynamics and Self-Organization, Max-Planck-Institute, Göttingen, Germany

1. Jean Marcel Pallo

, Département d’Informatique, LE2I, Université de Bourgogne, Dijon Cedex, France

1. Jim Stasheff

, Department of Mathematics, University of North Carolina at Chapel H, Chapel Hill, USA

• First (and only) book centering around associahedra, Tamari lattices, and their generalizations, a highly multifaceted and interdisciplinary topic

• Profusely illustrated with accessible introductions to much of current related research

• Includes the first comprehensive biography of the mathematician Dov Tamari, based on original biographical material from various archives and other sources

• Includes supplementary material: sn.pub/extras

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About this book

Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This has been the subject of Dov Tamari’s thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari’s thesis.

By now these beautiful structures have made their appearance in many different areas of pure and applied mathematics, such as algebra, combinatorics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value.

On the occasion of Dov Tamari’s centennial birthday, this book provides an introduction to topical research related to Tamari’s work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations.

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Table of contents (19 chapters)

Front Matter

Pages i-xx 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1. 1.

Editors and Affiliations

for Dynamics and Self-Organization, Max-Planck-Institute, Göttingen, Germany

Folkert Müller-Hoissen

, Département d’Informatique, LE2I, Université de Bourgogne, Dijon Cedex, France

Jean Marcel Pallo

, Department of Mathematics, University of North Carolina at Chapel H, Chapel Hill, USA

Jim Stasheff

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Bibliographic Information

Book Title: Associahedra, Tamari Lattices and Related Structures

Book Subtitle: Tamari Memorial Festschrift

Editors: Folkert Müller-Hoissen, Jean Marcel Pallo, Jim Stasheff

Series Title: Progress in Mathematics

DOI: https://doi.org/10.1007/978-3-0348-0405-9

Publisher: Birkhäuser Basel

eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

Copyright Information: Springer Basel 2012

Hardcover ISBN: 978-3-0348-0404-2Published: 13 July 2012

Softcover ISBN: 978-3-0348-0796-8Published: 09 August 2014

eBook ISBN: 978-3-0348-0405-9Published: 13 July 2012

Series ISSN: 0743-1643

Series E-ISSN: 2296-505X

Edition Number: 1

Number of Pages: XX, 436

Topics: [Convex and Discrete Geometry](https://link.springer.com/search?facet-sub-discipline=Convex and Discrete Geometry&facet-content-type=Book), [Number Theory](https://link.springer.com/search?facet-sub-discipline=Number Theory&facet-content-type=Book), [Order, Lattices, Ordered Algebraic Structures](https://link.springer.com/search?facet-sub-discipline=Order, Lattices, Ordered Algebraic Structures&facet-content-type=Book), [Algebraic Topology](https://link.springer.com/search?facet-sub-discipline=Algebraic Topology&facet-content-type=Book)

Keywords

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