Maximal equicontinuous factors and cohomology for tiling spaces
نویسندگان
چکیده
منابع مشابه
Quotient cohomology for tiling spaces
We define a relative version of tiling cohomology for the purpose of comparing the topology of tiling dynamical systems 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.
متن کاملCohomology in One-dimensional Substitution Tiling Spaces
Anderson and Putnam showed that the cohomology of a substitution tiling space may be computed by collaring tiles to obtain a substitution which “forces its border.” One can then represent the tiling space as an inverse limit of an inflation and substitution map on a cellular complex formed from the collared tiles; the cohomology of the tiling space is computed as the direct limit of the homomor...
متن کاملN ov 2 00 8 COHOMOLOGY OF SUBSTITUTION TILING SPACES
Anderson and Putnam showed that the cohomology of a substitution tiling space may be computed by collaring tiles to obtain a substitution which “forces its border.” One can then represent the tiling space as an inverse limit of an inflation and substitution map on a cellular complex formed from the collared tiles; the cohomology of the tiling space is computed as the direct limit of the homomor...
متن کاملTwisted cohomology of configuration spaces of the plane and spaces of maximal tori via point-counting
We consider two families of algebraic varieties Yn indexed by natural numbers n: the configuration space of unordered n-tuples of distinct points on C, and the space of unordered n-tuples of linearly independent lines in C. Let Wn be any sequence of virtual Sn-representations given by a character polynomial, we compute H(Yn;Wn) for all i and all n in terms of double generating functions. One co...
متن کاملTorsion in Tiling Homology and Cohomology
The first author’s recent unexpected discovery of torsion in the integral cohomology of the Tübingen Triangle Tiling has led to a reevaluation of current descriptions of and calculational methods for the topological invariants associated with aperiodic tilings. The existence of torsion calls into question the previously assumed equivalence of cohomological and K-theoretic invariants as well as ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2012
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm218-3-3