Cohomology and K-theory of aperiodic tilings

Cohomology and K-theory of aperiodic tilings

We study the K-theory and cohomology of spaces of aperiodic and repetitive tilings with finite local complexity. Given such a tiling, we build a spectral sequence converging to its K-theory and define a new cohomology (PV cohomology) that appears naturally in the second page of this spectral sequenc...

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Bibliographic Details
Main Author: Savinien, Jean P.X.
Published: Georgia Institute of Technology 2008
Subjects:
K-theory
Tilings
Cohomology
Homology theory
Aperiodic tilings
Algebraic topology
Tiling (Mathematics)
Combinatorial designs and configurations
Mathematics
Spectral sequences (Mathematics)
Online Access:http://hdl.handle.net/1853/24732

Internet

http://hdl.handle.net/1853/24732

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