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SUMMARY:Elvira Mayordomo (University of Zaragoza)
DTSTART:20211122T213000Z
DTEND:20211122T223000Z
DTSTAMP:20260423T004825Z
UID:CTA/67
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CTA/67/">Ext
 ending the reach of the point-to-set principle</a>\nby Elvira Mayordomo (U
 niversity of Zaragoza) as part of Computability theory and applications\n\
 n\nAbstract\nThe point-to-set principle of J. Lutz and N. Lutz (2018) has\
 nrecently enabled the theory of computing to be used to answer open questi
 ons\nabout fractal geometry in Euclidean spaces R^n. These are classical q
 uestions\nwhose statements do not involve computation or related aspects o
 f logic.\n\nI will present the generalization of the point-to-set principl
 e from Euclidean\nspaces to arbitrary separable metric spaces and to a lar
 ge class of gauge\nfamilies.\n\nThen I will demonstrate the power of our e
 xtended point-to-set principle by\nusing it to prove new theorems about cl
 assical fractal dimensions in\nhyperspaces.\n\n(The results presented are 
 joint work with Jack Lutz and Neil Lutz).\n
LOCATION:https://researchseminars.org/talk/CTA/67/
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