Complexity as a homeomorphism invariant for tiling spaces

Annales de l’institut Fourier ◽

10.5802/aif.3091 ◽

2017 ◽

Vol 67 (2) ◽

pp. 539-577 ◽

Author(s):

Antoine Julien

Keyword(s):

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The Penrose, Ammann and DA tiling spaces are Cantor set fiber bundles

Ergodic Theory and Dynamical Systems ◽

10.1017/s0143385701001912 ◽

2001 ◽

Vol 21 (06) ◽

Author(s):

R. F. WILLIAMS

Keyword(s):

Fiber Bundles ◽

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Cohomology in one-dimensional substitution tiling spaces

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-08-09225-3 ◽

2008 ◽

Vol 136 (06) ◽

pp. 2183-2191 ◽

Author(s):

Marcy Barge ◽

Beverly Diamond

Keyword(s):

One Dimensional ◽

Substitution Tiling ◽

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Tiling spaces and inverse limits

Topology of Tiling Spaces - University Lecture Series ◽

10.1090/ulect/046/02 ◽

2008 ◽

pp. 21-29

Author(s):

Lorenzo Sadun

Keyword(s):

Inverse Limits ◽

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Tilings, tiling spaces and topology

The Philosophical Magazine A Journal of Theoretical Experimental and Applied Physics ◽

10.1080/14786430500259742 ◽

2006 ◽

Vol 86 (6-8) ◽

pp. 875-881 ◽

Author(s):

L. Sadun

Keyword(s):

Tiling Spaces ◽

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The dynamics of tiling spaces

Open Problems in Topology II ◽

10.1016/b978-044452208-5/50046-6 ◽

2007 ◽

pp. 463-468 ◽

Author(s):

Alex Clark

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Equivalence of Self-similar and Pseudo-self-similar Tiling Spaces in ℝ2

Discrete & Computational Geometry ◽

10.1007/s00454-011-9327-y ◽

2011 ◽

Vol 46 (1) ◽

pp. 1-28

Author(s):

Betseygail Rand

Keyword(s):

Tiling Spaces ◽

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Quotient Cohomology of Certain 1- and 2-Dimensional Substitution Tiling Spaces

Acta Physica Polonica A ◽

10.12693/aphyspola.126.438 ◽

2014 ◽

Vol 126 (2) ◽

pp. 438-441

Author(s):

E.P. Bugarin ◽

F. Gähler

Keyword(s):

Substitution Tiling ◽

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An uncountable set of tiling spaces with distinct cohomology

Topology and its Applications ◽

10.1016/j.topol.2016.01.020 ◽

2016 ◽

Vol 205 ◽

pp. 58-81 ◽

Author(s):

Dan Rust

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Topology of some tiling spaces without finite local complexity

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2009.23.847 ◽

2009 ◽

Vol 23 (3) ◽

pp. 847-865 ◽

Author(s):

Natalie Priebe Frank ◽

◽

Lorenzo Sadun ◽

Keyword(s):

Tiling Spaces ◽

Local Complexity

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Geometric realization and coincidence for reducible non-unimodular Pisot tiling spaces with an application to \beta -shifts

Annales de l’institut Fourier ◽

10.5802/aif.2238 ◽

2006 ◽

Vol 56 (7) ◽

pp. 2213-2248 ◽

Author(s):

Veronica Baker ◽

Marcy Barge ◽

Jaroslaw Kwapisz

Keyword(s):

Geometric Realization ◽

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