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SUMMARY:Aziz Kharoof (University of Haifa)
DTSTART:20210322T103000Z
DTEND:20210322T113000Z
DTSTAMP:20260422T135913Z
UID:BilTop/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BilTop/16/">
 Higher order Toda brackets</a>\nby Aziz Kharoof (University of Haifa) as p
 art of Bilkent Topology Seminar\n\nLecture held in SB-Z11.\n\nAbstract\nTo
 da brackets are a type of higher homotopy operation. Like Massey products\
 , they are not always defined\, and their value is indeterminate. Neverthe
 less\, they play an important role in algebraic topology and related field
 s:                                                                        
                      Toda originally constructed them as a tool for comput
 ing homotopy groups of spheres. Adams later showed that they can be used t
 o calculate differentials in spectral sequences.\n\nAfter reviewing the co
 nstruction and properties of the classical Toda bracket\, we shall describ
 e a higher order version\, there are two ways to do that. We will provide 
 a diagrammatic description for the system we need to define the higher ord
 er Toda brackets\, then we will use that to give alternative definition us
 ing the homotopy cofiber.\n
LOCATION:https://researchseminars.org/talk/BilTop/16/
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