  In 1975 Wegner conjectured that the nerve of every finite good cover in R^d
is d-collapsible. We disprove this conjecture. A good cover is a collection of
open sets in R^d such that the intersection of every subcollection is either
empty or homeomorphic to an open d-ball. A simplicial complex is d-collapsible
if it can be reduced to an empty complex by repeatedly removing a face of
dimension at most d-1 which is contained in a unique maximal face.
