BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Abstract Sobriety and Equilogical Spaces - Enrico Ghiorzi - DPMMS
DTSTART:20131107T140000Z
DTEND:20131107T150000Z
UID:TALK48814@talks.cam.ac.uk
CONTACT:Guilherme Lima de Carvalho e Silva
DESCRIPTION:Sobriety is a topological property\, identifying those spaces 
 which are completely determined by (the frame structure of) their topology
 . This notion will be introduced focusing on its category-theoretic proper
 ties\, and in particular by making use of the language of monads and algeb
 ras.\n\nRecently (2002) Paul Taylor has proposed the notion of abstract so
 briety\, generalising that of sobriety to a categorical setting. It will b
 e shown in which regard the new definition is an extension of the standard
  one\, as well as some of its properties.\n\nFinally the notion of abstrac
 t sobriety will be applied to the category of equilogical spaces\, a carte
 sian closed extension of Top. In this setting the notions of standard and 
 abstract sobriety coincide\, while other properties seem more problematic.
 \n
LOCATION:CMS\, MR13
END:VEVENT
END:VCALENDAR