JP Journal of Geometry and Topology
Volume 7, Issue 3, Pages 327 - 339
(November 2007)
|
|
PROJECTION DECOMPOSITIONS OF 0-DIMENSIONAL SETS
Denise Halverson (U.S.A.) and Lauritz Petersen (U.S.A.)
|
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.
