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UBC Theses and Dissertations

The independence of the Whitehead problem from ZFC Dean, Richard J.

Abstract

An abelian group G is called a W-group if Ext(G,Z) = 0. Whitehead's problem asks which groups are W-groups. Saharon Shelah proved that the answer to Whitehead's problem, for groups of cardinality ω₁ , is independent of the axioms of Zermelo-Frankel set theory with the axiom of choice. This thesis gives a complete and detailed proof, based on Shelah's proof, of this independence result.

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