Premium
Integer Cech cohomology of a class of n ‐dimensional substitutions
Author(s) -
Escudero Juan García
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1382
Subject(s) - mathematics , cohomology , integer (computer science) , class (philosophy) , torsion (gastropod) , pure mathematics , finitely generated abelian group , substitution tiling , combinatorics , discrete mathematics , medicine , surgery , artificial intelligence , computer science , programming language
A class of non‐periodic tilings in n ‐dimensions is considered. They are based on one‐dimensional substitution tilings that force the border, a property preserved in the construction for higher dimensions. This fact allows to compute the integerČech cohomology of the tiling spaces in an efficient way. Several examples are analyzed, some of them with PV numbers as inflation factors, and they have finitely or infinitely generated torsion‐free cohomologies. Copyright © 2010 John Wiley & Sons, Ltd.