1 citations · 1 across the 4 of their papers we have counts for
4 papers
Homological Percolation: The Formation of Giant k-Cycles
Omer Bobrowski, Primoz Skraba
In this paper we introduce and study a higher-dimensional analogue of the giant component in continuum percolation. Using the language of algebraic topology, we define the notion o…
Aspects of an internal logic for persistence
João Pita Costa, Primož Škraba, Mikael Vejdemo-Johansson
The foundational character of certain algebraic structures as Boolean algebras and Heyting algebras is rooted in their potential to model classical and constructive logic, respecti…
Variable sets over an algebra of lifetimes: a contribution of lattice theory to the study of computational topology
João Pita Costa, Mikael Vejdemo Johansson, Primož Škraba
A topos theoretic generalisation of the category of sets allows for modelling spaces which vary according to time intervals. Persistent homology, or more generally, persistence is…
Approximating Local Homology from Samples
Primoz Skraba, Bei Wang
Recently, multi-scale notions of local homology (a variant of persistent homology) have been used to study the local structure of spaces around a given point from a point cloud sam…