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SUMMARY:A characterisation of the category of compact Hausdorff spaces - L
 uca Reggio (University of Oxford)
DTSTART:20210309T141500Z
DTEND:20210309T151500Z
UID:TALK158035@talks.cam.ac.uk
CONTACT:José Siqueira
DESCRIPTION:I will present a categorical characterisation of the\ncategory
  KH of compact Hausdorff spaces and continuous maps. To this end\, a notio
 n of 'filtrality' for coherent categories is introduced\, whereby certain 
 lattices of subobjects are related to their Boolean centers. Our main resu
 lt reads as follows: Up to equivalence\, KH is the unique non-trivial well
 -pointed pretopos that is filtral and admits all set-indexed copowers of i
 ts terminal object.\nThis is joint work with Vincenzo Marra (TAC\, Vol.35\
 , No.51\, pp.1871-1906\, 2020).\n\nZoom data:  Meeting ID 916 7928 3736\, 
 passcode  844306
LOCATION:Zoom (Meeting ID 916 7928 3736\, passcode  844306)
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