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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.
Item Metadata
| Title |
The independence of the Whitehead problem from ZFC
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| Creator | |
| Publisher |
University of British Columbia
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| Date Issued |
1976
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| Description |
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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| Genre | |
| Type | |
| Language |
eng
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| Date Available |
2010-02-08
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
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.
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| DOI |
10.14288/1.0080114
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| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
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| Campus | |
| Scholarly Level |
Graduate
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| Aggregated Source Repository |
DSpace
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Rights
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.