Connectedness of the set of nondominated outcomes in multicriteria optimization

Sufficient conditions for the set of nondominated outcomes of a multicriteria optimization problem to be connected are given.The author would like to thank Professors G. Leitmann and P. L. Yu for many critical remarks.The contents of this article are taken from the author's doctoral dissertation written at the University of California at Berkeley under the supervision of Professor G. Leitmann.