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SUMMARY:Mustafa Akkaya (Bilkent University)
DTSTART:20230313T103000Z
DTEND:20230313T113000Z
DTSTAMP:20260422T140215Z
UID:BilTop/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/50/">
 Model categories I - basic definitions</a>\nby Mustafa Akkaya (Bilkent Uni
 versity) as part of Bilkent Topology Seminar\n\nLecture held in SB-Z11.\n\
 nAbstract\nThe goal of this talk is to provide basic definitions of the th
 eory model categories. We would like to introduce the definition of a mode
 l category and its homotopy category. In particular\, this will require a 
 discussion of fibrations\, cofibrations and weak equivalences\, fibrant an
 d cofibrant objects\, cylinder and path objects. Then we will proceed to t
 he notion of left and right homotopy and define the homotopy category of a
  model category. The whole theory will be shown using two examples: Quille
 n model structure on topological spaces and Quillen model structure on sim
 plicial sets.\n
LOCATION:https://researchseminars.org/talk/BilTop/50/
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