Computable Linear Orders and Limitwise Monotonic Functions

Journal of Mathematical Sciences(2021)

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摘要
In this paper, we describe the technique of extremely monotonic functions in the theory of computable linear orders. The basic definitions of extremely monotonic functions and their generalizations are given, and a number of their basic properties and applications are presented.
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关键词
computable linear order, limitwise monotonic function, effective presentation, low degree, self-embedding, automorphism, 03D45, 03C57
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