Quotient Cohomology for Tiling Spaces

Abstract

We define a relative version of tiling cohomology for the purpose of comparing the topology of tiling spaces when one is a factor of the other. We illustrate this with examples, and outline a method for computing the cohomology of tiling spaces of finite type.

18 pages including four postscript figures

References in corpus (1)

• On the geometry of ground states and quasicrystals for lattice systems

Cited by in corpus (5)

• Asymptotic structure in substitution tiling spaces
• Spectral and topological properties of a family of generalised Thue-Morse sequences
• Classifying matchbox manifolds
• An uncountable set of tiling spaces with distinct cohomology
• Topology of the Random Fibonacci Tiling Space