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APAL
2005

Dependence relations in computably rigid computable vector spaces

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Dependence relations in computably rigid computable vector spaces
Abstract. We construct a computable vector space with the trivial computable automorphism group, but with the dependence relations as complicated as possible, measured by their Turing degrees. As a corollary, we answer a question asked by A. Morozov in [7]. The authors are very thankful to the referee for important suggestions. The last two authors also acknowledge support of the NSF binational grant DMS-0075899.
Rumen D. Dimitrov, Valentina S. Harizanov, Andrei
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2005
Where APAL
Authors Rumen D. Dimitrov, Valentina S. Harizanov, Andrei S. Morozov
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