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JSYML
2010

Limitwise monotonic functions, sets, and degrees on computable domains

13 years 2 months ago
Limitwise monotonic functions, sets, and degrees on computable domains
We extend the notion of limitwise monotonic functions to include arbitrary computable domains. We then study which sets and degrees are support increasing (support strictly increasing) limitwise monotonic on various computable domains. As applications, we provide a characterization of the sets S with computable increasing η-representations using support increasing limitwise monotonic sets on Q and note relationships between the class of order-computable sets and the class of support increasing (support strictly increasing) limitwise monotonic sets on certain domains.
Asher M. Kach, Daniel Turetsky
Added 29 Jan 2011
Updated 29 Jan 2011
Type Journal
Year 2010
Where JSYML
Authors Asher M. Kach, Daniel Turetsky
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