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math.DS2008
Cohomology of Substitution Tiling Spaces
Marcy Barge, Beverly Diamond, John Hunton +1
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 re…
math.DS2008★ 2 cited
The Branch Locus for One-Dimensional Pisot Tiling Spaces
Marcy Barge, Beverly Diamond, Richard Swanson
If phi is a Pisot substitution of degree d, then the inflation and substitution homeomorphism Phi on the tiling space T_Phi factors via geometric realization onto a d-dimensional s…