Homotopy and Cohomology -- Atanas Atanasov
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Homotopy theory is often viewed as an advanced topic in algebraic topology, so it is
covered fairly late in most standard courses. We will briefly discuss a sample of
homotopy theory by presenting the basics, and as time allows some connections with
cohomology. This track involves a showcase of useful topological tools -- suspensions,
loop spaces, Eilenberg-MacLane spaces, some category theory and more. Knowledge of the
subject will not be assumed.
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The talk should be modestly accessible -- basic topology recommended.