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Topology of Tiling Spaces Lorenzo Sadun

Topology of Tiling Spaces

Lorenzo Sadun

Published October 1st 2008
ISBN : 9780821847275
Paperback
118 pages
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 About the Book 

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 isnt a comprehensive and cross-referenced tome about everythingMoreThis 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 isnt a comprehensive and cross-referenced tome about everything having to do with tilings, which would be too big, too hard to read, and far too hard to write! Rather, it is a review of the explosion of recent work on tiling spaces as inverse limits, on the cohomology of tiling spaces, on substitution tilings and the role of rotations, and on tilings that do not have finite local complexity. Powerful computational techniques have been developed, as have new ways of thinking about tiling spaces. The text contains a generous supply of examples and exercises.