Research output: Working paper

Date | Published - 21 Sep 2016 |
---|---|

Number of pages | 16 |

Original language | English |

A spectral sequence is defined which converges to the \v{C}ech cohomology of the Euclidean hull of a tiling of the plane with Euclidean finite local complexity. The terms of the second page are determined by the so-called ePE homology and ePE cohomology groups of the tiling, and the only potentially non-trivial boundary map has a simple combinatorial description in terms of its local patches. Using this spectral sequence, we compute the \v{C}ech cohomology of the Euclidean hull of the Penrose tilings.

## Diophantine approximation, chromatic number, and equivalence classes of separated nets

Project: Research project (funded) › Research

## Gaps theorems and statistics of patterns in quasicrystals

Project: Research project (funded) › Research

Find related publications, people, projects, datasets and more using interactive charts.