  Numerical evidence for a cosmological version of the Bartnik-McKinnon family
of particle-like solutions of the Einstein-Yang-Mills system is presented. Our
solutions are also static, but space has the topology of a three-sphere. By
adjusting the cosmological constant we found numerically a spherically
symmetric solution which can be regarded as an excitation of the unique
SO(4)-invariant solution. We expect that for each node number there exists such
a solution without a cosmological horizon.
