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DTSTART;TZID=America/Toronto:20240117T143000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/logic-seminar-55
SUMMARY:Logic Seminar
CLASS:PUBLIC
DESCRIPTION:JASON BELL\, DEPARTMENT OF PURE MATHEMATICS\, UNIVERSITY OF WAT
 ERLOO\n\n\"SPARSE SUBSETS OF THE REALS\"\n\nWe look at the first-order the
 ory of the real numbers augmented by a\npredicate X that is in some natura
 l sense self-similar with respect to\na positive integer base. We show tha
 t there is a dichotomy: either we\ncan define a Cantor set in our structur
 e or our expansion of the reals\nis interdefinable with the real numbers a
 ugmented by a set of the form\n{1/r\, 1/r^2\, 1/r^3\, …} for some intege
 r r>=2.  In the latter case\,\nthis is equivalent to the structure having
  NIP and NTP_2.  This is\njoint work with Alexi Block Gorman.\n\nMC 5479
DTSTAMP:20260506T210813Z
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