29 citations · 54 across the 13 of their papers we have counts for
3 papers · 1 filter
Combinatorial presentation of multidimensional persistent homology
Wojciech Chacholski, Martina Scolamiero, Francesco Vaccarino
A multifiltration is a functor indexed by that maps any morphism to a monomorphism. The goal of this paper is to describe in an explicit and combinatorial way the na…
Homotopy excision and cellularity
Wojciech Chacholski, Jerome Scherer, Kay Werndli
Consider a push-out diagram of spaces C <-- A --> B, construct the homotopy push-out, and then the homotopy pull-back of the diagram one gets by forgetting the initial object A. We…
Homotopy colimits of nilpotent spaces
Wojciech Chacholski, Emmanuel Dror Farjoun, Ramon Flores +1
We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages, in particular classifying spaces of nilpotent groups are turned into class…