  By constructing a nilpotent extended BRST operator $\bs$ that involves the
N=2 global supersymmetry transformations of one chirality, we find exact field
redefinitions that allows to construct the Topological Yang Mills Theory from
the ordinary Euclidean N=2 Super Yang Mills theory in flat space. We also show
that the given field redefinitions yield the Baulieu-Singer formulation of
Topological Yang Mills theory when after an instanton inspired truncation of
the theory is used.
