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An uncountable set of tiling spaces with...

Rust, Dan...

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An uncountable set of tiling spaces with distinct cohomology by Rust, Dan ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	18-11-2014
Summary	We generalise the notion of a Barge-Diamond complex, in the one-dimensional case, to a mixed system of tiling substitutions. This gives a way of describing the associated tiling space as an inverse limit of Barge-Diamond complexes. We give an effective method for calculating the Čech cohomology of the tiling space via an exact sequence relating the associated sequence of substitution matrices and certain subcomplexes appearing in the approximants. As an application, we show that there exists a system of three substitutions on two letters which exhibit an uncountable collection of minimal tiling spaces with distinct isomorphism classes of Čech cohomology.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1411.4991

Citation

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AMA 11th EditionReferences

Rust, Dan. An uncountable set of tiling spaces with distinct cohomology. N.A. November 18, 2014. Accessed October 02, 2025. https://online.provdatabase.com/cite/18151

APA 7th EditionReferences

Rust, Dan. (2014). An uncountable set of tiling spaces with distinct cohomology. N.A. https://online.provdatabase.com/cite/18151

Chicago 17th EditionReferences

Rust, Dan. An uncountable set of tiling spaces with distinct cohomology. N.A. 2014. https://online.provdatabase.com/cite/18151

HarvardReferences

Rust, Dan. (2014). An uncountable set of tiling spaces with distinct cohomology. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18151. (Accessed 02 October 2025).

Harvard AustraliaReferences

Rust, Dan, 2014, An uncountable set of tiling spaces with distinct cohomology, N.A, viewed 02 October 2025, <https://online.provdatabase.com/cite/18151>

MLA 9th EditionWorks Cited

Rust, Dan. An uncountable set of tiling spaces with distinct cohomology. N.A, 2014. PROV Database, https://online.provdatabase.com/cite/18151.

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