Sheaves of Abelian Groups and the Quotients A**/A Original Research Article

We extend Mrówka′s theorem for groups of continuous functions to groups of global sections of sheaves. As an application we show that for any Abelian group A of non-ω-measurable cardinality there is an Abelian group D so that D**/D congruent with A. This allows us to answer a question of Eklof and Mekler regarding the groups D***/D*; it follows that any dual group is of the form D***/D* for some group D.