Title: The number of translates of a closed nowhere dense set
required to cover a Polish group
Authors: Arnold W. Miller and Juris Steprans
Abstract: For a Polish group G let cov_G be the minimal number of
translates of a fixed closed nowhere dense subset of G required to
cover G. For many locally compact G this cardinal is known to be
consistently larger than cov(meager) which is the smallest
cardinality of a covering of the real line by meagre sets. It is
shown that for several non-locally compact groups
cov_G=cov(meager). For example the equality holds for the group of
permutations of the integers, the additive group of a separable
Banach space with an unconditional basis and the group of
homeomorphisms of various compact spaces.
LaTex2e 10 pages