Quotients of the topology of the partition lattice which are not homotopy equivalent to wedges of spheres
Abstract
The reader of doi:10.1016/j.topol.2010.08.006 might conjecture that (n)/G is homotopy equivalent to a wedge of spheres for any n>=3 and any subgroup G<Sn. We disprove this by showing that (p)/Cp is not homotopy equivalent to a wedge of spheres for any prime number p>=5.
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