Maximal equicontinuous factors and cohomology for tiling spaces

Marcy Barge, Johannes Kellendonk, and Scott Schmieding. "Maximal equicontinuous factors and cohomology for tiling spaces." Fundamenta Mathematicae 218.3 (2012): 243-267. <http://eudml.org/doc/282603>.

@article{MarcyBarge2012,
abstract = {We study the homomorphism induced on cohomology by the maximal equicontinuous factor map of a tiling space. We will see that in degree one this map is injective and has torsion free cokernel. We show by example, however, that, in degree one, the cohomology of the maximal equicontinuous factor may not be a direct summand of the tiling cohomology.},
author = {Marcy Barge, Johannes Kellendonk, Scott Schmieding},
journal = {Fundamenta Mathematicae},
keywords = {tiling spaced; maximal equicontinuous factor},
language = {eng},
number = {3},
pages = {243-267},
title = {Maximal equicontinuous factors and cohomology for tiling spaces},
url = {http://eudml.org/doc/282603},
volume = {218},
year = {2012},
}

TY - JOUR
AU - Marcy Barge
AU - Johannes Kellendonk
AU - Scott Schmieding
TI - Maximal equicontinuous factors and cohomology for tiling spaces
JO - Fundamenta Mathematicae
PY - 2012
VL - 218
IS - 3
SP - 243
EP - 267
AB - We study the homomorphism induced on cohomology by the maximal equicontinuous factor map of a tiling space. We will see that in degree one this map is injective and has torsion free cokernel. We show by example, however, that, in degree one, the cohomology of the maximal equicontinuous factor may not be a direct summand of the tiling cohomology.
LA - eng
KW - tiling spaced; maximal equicontinuous factor
UR - http://eudml.org/doc/282603
ER -