Topology of Tiling Spaces

Topology of Tiling Spaces
Author: Lorenzo Adlai Sadun
Publisher: American Mathematical Soc.
Total Pages: 131
Release: 2008
Genre: Mathematics
ISBN: 0821847279


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"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 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."--BOOK JACKET.


Topology of Tiling Spaces
Language: en
Pages: 131
Authors: Lorenzo Adlai Sadun
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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"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 wi
The Tiling Book
Language: en
Pages: 310
Authors: Colin Adams
Categories: Mathematics
Type: BOOK - Published: 2023-08-28 - Publisher: American Mathematical Society

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Tiling theory provides a wonderful opportunity to illustrate both the beauty and utility of mathematics. It has all the relevant ingredients: there are stunning
The Branch Locus for Two Dimensional Tiling Spaces
Language: en
Pages: 166
Authors: Carl Andrew Olimb
Categories: Cohomology operations
Type: BOOK - Published: 2010 - Publisher:

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We explore the asymptotic arc components made by the continuous R2-action of translation on two-dimensional nonperiodic substitution tiling spaces. As there is
Algebra and Tiling
Language: en
Pages: 236
Authors: Sherman Stein
Categories: Mathematics
Type: BOOK - Published: 1994 - Publisher: Cambridge University Press

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A concise investigation into the connections between tiling space problems and algebraic ideas, suitable for undergraduates.
Miles of Tiles
Language: en
Pages: 134
Authors: Charles Radin
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: American Mathematical Soc.

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"Miles of Tiles" is a mathematics lesson for middle school classes requiring students to calculate the number and cost of tiles needed to cover the floor of the