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DTSTART:20250309T070000
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DTSTART;TZID=America/Toronto:20250401T140000
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URL:https://uwaterloo.ca/pure-mathematics/events/logic-seminar-75
SUMMARY:Logic Seminar
CLASS:PUBLIC
DESCRIPTION:MARK POOR\, CORNELL UNIVERSITY\n\nSome results about the pseudo
 arc and its homeomorphism group\n\nIt is known that the so called pseudoar
 c can be represented as a\nquotient of a zero-dimensional compact \"prespa
 ce\" under an appropriate\nequivalence relation (which is an inverse limit
  of linear graphs)\, and\nthe automorphisms of this prespace densely embed
 s into the\nhomeomorphism group of the pseudoarc. Although this embedding 
 is only\ncontinuous\, not a homeomorphic embedding\, we can actually chara
 cterize\nthe topology inherited from the homeomorphism group intrinsically
 \,\nonly in terms of the prespace. Using this characterization we show\nth
 at not all homeomorphisms are conjugate to an automorphism\, and we\ngive 
 a second proof to Kwiatkowska's conjecture\, namely that there\nexists a h
 omeomorphism with a dense conjugacy class.\n\nThis is joint work with S. S
 olecki.\n\nMC 5479
DTSTAMP:20260504T161342Z
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