BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Josiah Jacobsen-Grocott (University of Wisconsin) DTSTART:20210913T210000Z DTEND:20210913T213000Z DTSTAMP:20260423T024743Z UID:CTA/60 DESCRIPTION:Title: A C haracterization of the Strongly η-Representable Many-One Degrees\nby Josiah Jacobsen-Grocott (University of Wisconsin) as part of Computability theory and applications\n\n\nAbstract\nη-representations are a way of co ding sets in computable linear orders that were first introduced by Fellne r in his thesis. Limitwise monotonic functions have been used to character ize the sets with η-representations and give characterizations for severa l variations of η-representations. The one exception is the class of sets with strong η-representations\, the only class where the order type of t he representation is unique. We introduce the notion of a connected approx imation of a set\, a variation on Σ02 approximations. We use connected ap proximations to give a characterization of the many-one degrees of sets wi th strong η-representations as well as new characterizations of the varia tions of η-representations with known characterizations.\n LOCATION:https://researchseminars.org/talk/CTA/60/ END:VEVENT END:VCALENDAR