Bredon homology of partition complexes
Documenta mathematica, Tome 21 (2016), pp. 1227-1268
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We prove that the Bredon homology or cohomology of the partition complex with fairly general coefficients is either trivial or computable in terms of constructions with the Steinberg module. The argument involves a theory of Bredon homology and cohomology approximation.
Classification :
55N91, 55R40
Mots-clés : homology approximations, equivariant approximations, Bredon homology, partition complexes
Mots-clés : homology approximations, equivariant approximations, Bredon homology, partition complexes
K. Lesh; G. Z. Arone; W. G. Dwyer. Bredon homology of partition complexes. Documenta mathematica, Tome 21 (2016), pp. 1227-1268. doi: 10.4171/dm/x1
@article{10_4171_dm_x1,
author = {K. Lesh and G. Z. Arone and W. G. Dwyer},
title = {Bredon homology of partition complexes},
journal = {Documenta mathematica},
pages = {1227--1268},
year = {2016},
volume = {21},
doi = {10.4171/dm/x1},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/x1/}
}
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