Pattern equivariant functions and cohomology
Mathematical Physics
2009-11-07 v1 K-Theory and Homology
math.MP
Abstract
The cohomology of a tiling or a point pattern has originally been defined via the construction of the hull or the groupoid associated with the tiling or the pattern. Here we present a construction which is more direct and therefore easier accessible. It is based on generalizing the notion of equivariance from lattices to point patterns of finite local complexity.
Cite
@article{arxiv.math-ph/0211071,
title = {Pattern equivariant functions and cohomology},
author = {Johannes Kellendonk},
journal= {arXiv preprint arXiv:math-ph/0211071},
year = {2009}
}
Comments
8 pages including 2 figures