Degrees of Autostability for Linear Orders and Linearly Ordered Abelian Groups


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It is proved that every computable ordinal has a degree of autostability. We construct new examples of degrees of autostability in the class of linear orders and in the class of linearly ordered Abelian groups.

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N. Bazhenov

Sobolev Institute of Mathematics; Novosibirsk State University

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Email: bazhenov@math.nsc.ru
俄罗斯联邦, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 2, Novosibirsk, 630090

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