A-infinity Persistence

Wednesday, April 9, 2014 - 1:30pm - 2:30pm
Lind 305
Aniceto Murillo (University of Málaga)
We will introduce A-infinity persistence of a given homology filtration of topological spaces. This is a family homological invariants which provide information not readily available by the (persistent) Betti numbers of the given filtration. This may help to detect noise, not just in the simplicial structure of the filtration but in further geometrical properties in which the higher codiagonals of the A-infinity structure are translated.