Strong minimal covers and a question of Yates: the story so far

Lewis-Pye, A. (2009). Strong minimal covers and a question of Yates: the story so far. In Cooper, B., Geuvers, H., Pillay, A. & Väänänen, J. (Eds.), Logic Colloquium 2006 (pp. 213-228). Cambridge University Press. https://doi.org/10.1017/CBO9780511605321.011
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An old question of Yates as to whether all minimal degrees have a strong minimal cover remains one of the longstanding problems of degree theory, apparently largely impervious to present techniques. We survey existing results in this area, focussing especially on some recent progress.

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