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SUMMARY:Liang Yu (Nanjing University)
DTSTART:20210603T010000Z
DTEND:20210603T023000Z
DTSTAMP:20260423T005716Z
UID:CTA/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CTA/57/">Som
 e consequences of TD and sTD.</a>\nby Liang Yu (Nanjing University) as par
 t of Computability theory and applications\n\n\nAbstract\nTD says that for
  every cofinal set $A$ of \\emph{Turing degrees}\, $A$ contains an upper c
 one\; and sTD says that for every set $A$ of \\emph{reals} with cofinal ra
 nge in the Turing degrees\, $A$ has a pointed subset (a pointed set is a p
 erfect set in which every real computes a representation of the set). We p
 rove some consequences of TD and sTD. For example\, we prove that sTD impl
 ies for every set of reals\, its Hausdorff dimension can be approximated b
 y it closed subsets.\n
LOCATION:https://researchseminars.org/talk/CTA/57/
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