  The aim of this paper is to demonstrate relations between Gromov-Hausdorff
distance properties and the Borsuk Conjecture. The Borsuk number of a given
bounded metric space $X$ is the infimum of cardinal numbers $n$ such that $X$
can be partitioned into $n$ smaller parts (in the sense of diameter). An exact
formula for the Gromov-Hausdorff distance between bounded metric spaces is
obtained under the assumptions that the diameter and the cardinality of one
space is less than the diameter and the Borsuk number of the other one,
respectively. Using Bacon equivalence results between Lusternik-Schnirelmann
and Borsuk Problems several corollaries are obtained.
