Abstract: A set Z in
the product space has a 0-dimensional projection decomposition provided
that Z can be written as the union of
two sets, and such that the
projection of onto is contained in a 0-dimenional
-set for each In this paper, we give a
characterization for closed sets in that do not have a 0-dimensional projection decomposition. We also
give a specific example of a closed 0-dimensional set in that does not have a 0-dimensional projection decomposition.
Keywords and phrases: 0-dimensional, product space, decompositions.
