  Here we deal with some problems posed by Matet. The first section deals with
the existence of stationary subsets of [lambda]^{<kappa} with no unbounded
subsets which are not stationary, where, of course, kappa is regular
uncountable less or equal than lambda. In the second section we deal with the
existence of such clubs. The proofs are easy but the result seems to be very
surprising.
  Theorem 1.2 was proved some time ago by Baumgartner and is presented here for
the sake of completeness.
