Cohomology groups for projection point patterns

نویسندگان

  • Alan Forrest
  • Johannes Kellendonk
  • JOHANNES KELLENDONK
چکیده

Aperiodic point sets (or tilings) which can be obtained by the method of cut and projection from higher dimensional periodic sets play an important role for the description of quasicrystals. Their topological invariants can be computed using the higher dimensional periodic structure. We report on the results obtained for the cohomology groups of projection point patterns supplemented by explicit calculations made by F. Gähler for many well-known icosahedral tilings.

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تاریخ انتشار 2000