Topology of Tiling Spaces (University Lecture Series, 46) - Softcover

Lorenzo Sadun

Softcover

ISBN 10: 0821847279 ISBN 13: 9780821847275

Publisher: American Mathematical Society, 2008

Synopsis

Aperiodic tilings are interesting to mathematicians and scientists for both theoretical and practical reasons. The serious study of aperiodic tilings began as a solution to a problem in logic. Simpler aperiodic tilings eventually revealed hidden ``symmetries'' that were previously considered impossible, while the tilings themselves were quite striking. The discovery of quasicrystals showed that such aperiodicity actually occurs in nature and led to advances in materials science. Many properties of aperiodic tilings can be discerned by studying one tiling at a time. However, by studying families of tilings, further properties are revealed. This broader study naturally leads to the topology of tiling spaces. This book is an introduction to the topology of tiling spaces, with a target audience of graduate students who wish to learn about the interface of topology with aperiodic order. It isn't a comprehensive and cross-referenced tome about everything having to do with tilings, which woul

About this title

Review

"Overall, this is a nice text and a welcome addition to the still rather incomplete literature on aperiodic order." ---- Zentralblatt MATH

Edition details

• Publisher: American Mathematical Society
• Publication date: 2008
• ISBN 10: 0821847279
• ISBN 13: 9780821847275
• Binding: Paperback
• Language: English
• Number of pages: 118