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SUMMARY:An Axiomatic Approach to Algebraic Topology
DTSTART:20190226T101500
DTEND:20190226T111500
DTSTAMP:20260405T163700Z
UID:5a220b1e4f905ce7381bd4aa97c32f0ccc925044a68f88bf5d7e5790
CATEGORIES:Conferences - Seminars
DESCRIPTION:Nima Rasekh\nAn elementary higher topos is a higher category t
 hat is defined using only elementary conditions\, yet behaves similar to t
 he category of spaces. The goal of this talk is to illustrate this connect
 ion by proving classical results from algebraic topology in this abstract 
 setting. Concretely\, we will use the fact that it satisfies descent\, whi
 ch a kind of a local-to-global condition\, to construct natural number obj
 ects. This allows us to use inductive arguments. Using induction\, we will
  then construct truncations and show that we can also prove the Blakers-Ma
 ssey theorem.
LOCATION:MA A1 12 https://plan.epfl.ch/?room=MAA112
STATUS:CONFIRMED
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