UBC Theses and Dissertations

UBC Theses Logo

UBC Theses and Dissertations

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


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.

Item Media

Item Citations and Data


For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.