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Topological Invariants for Projection Method Patterns

By: Alan Forrest,John Hunton,Johannes Kellendonk

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Topological Invariants for Projection Method Patterns

By: Alan Forrest,John Hunton,Johannes Kellendonk

This memoir develops, discusses and compares a range of commutative and non-commutative invariants defined for projection method tilings and point patterns. The projection method refers to patterns, particularly the quasiperiodic patterns, constructed by the projection of a strip of a high dimensional integer lattice to a smaller dimensional Euclidean space. In the first half of the memoir the acceptance domain is very general - any compact set which is the closure of its interior - while in the second half the authors concentrate on the so-called canonical patterns. The topological invariants used are various forms of $K$-theory and cohomology applied to a variety of both $C DEGREES*$-algebras and dynamical systems derived from such a p

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Page Count

137

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821829653

ISBN 13

9780821829653

Topological Invariants for Projection Method Patterns

By: Alan Forrest,John Hunton,Johannes Kellendonk

Write a review Read reviews Take a Quiz Solve Book Puzzle

Topological Invariants for Projection Method Patterns

By: Alan Forrest,John Hunton,Johannes Kellendonk

This memoir develops, discusses and compares a range of commutative and non-commutative invariants defined for projection method tilings and point patterns. The projection method refers to patterns, particularly the quasiperiodic patterns, constructed by the projection of a strip of a high dimensional integer lattice to a smaller dimensional Euclidean space. In the first half of the memoir the acceptance domain is very general - any compact set which is the closure of its interior - while in the second half the authors concentrate on the so-called canonical patterns. The topological invariants used are various forms of $K$-theory and cohomology applied to a variety of both $C DEGREES*$-algebras and dynamical systems derived from such a p

Average ratings

N/A

5

0%

4

0%

3

0%

2

0%

1

0%

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Solve jigsaw puzzle

Age

Page Count

137

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821829653

ISBN 13

9780821829653

Book's by Johannes Kellendonk

Topological Invariants for Projection Method Patterns

Topological Invariants for Projection Method Patterns

Topological Invariants for Projection Method Patterns

Topological Invariants for Projection Method Patterns

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