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SUMMARY:Arno Pauly (Swansea University)
DTSTART:20200924T180000Z
DTEND:20200924T190000Z
DTSTAMP:20260423T035743Z
UID:OLS/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/27/">How
  computability-theoretic degree structures and topological spaces are rela
 ted</a>\nby Arno Pauly (Swansea University) as part of Online logic semina
 r\n\n\nAbstract\nWe can generalize Turing reducibility to points in a larg
 e class of topological spaces. The point degree spectrum of a space is the
  collection of the degrees of its points. This is always a collection of M
 edvedev degrees\, and it turns out that topological properties of the spac
 e are closely related to what degrees occur in it. For example\, a Polish 
 space has only Turing degrees iff it is countably dimensional. This connec
 tion can be used to bring topological techniques to bear on problems from 
 computability theory and vice versa. The talk is based on joint work with 
 Takayuki Kihara and Keng Meng Ng (https://arxiv.org/abs/1405.6866 and http
 s://arxiv.org/abs/1904.04107).\n
LOCATION:https://researchseminars.org/talk/OLS/27/
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