  It was proved that whenever N is partitioned into finitely many cells, one
cell must contain arbitrary length geo-arithmetic progressions. It was also
proved that arithmetic and geometric progressions can be nicely intertwined in
one cell of partition, whenever N is partitioned into finitely many cells. In
this article we shall prove that similar types of results also hold near zero
in some suitable dense subsemigroup S of ((0; 1) ; +), using the Stone- Cech
compactification of ?S.
