Editors:
- 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
Part of the book series: Progress in Mathematics (PM, volume 299)
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Table of contents (19 chapters)
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Front Matter
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.
Editors and Affiliations
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for Dynamics and Self-Organization, Max-Planck-Institute, Göttingen, Germany
Folkert Müller-Hoissen
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, Département d'Informatique, LE2I, Université de Bourgogne, Dijon Cedex, France
Jean Marcel Pallo
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, Department of Mathematics, University of North Carolina at Chapel H, Chapel Hill, USA
Jim Stasheff
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, Number Theory, Order, Lattices, Ordered Algebraic Structures, Algebraic Topology