Antonio Rieser (08/21/25): Pseudotopological foundations for topological data analysis

Описание: Abstract- The category of pseudotopological spaces is the closed cartesian hull of topological spaces, and contains within it the categories of topological spaces, reflexive graphs, and metric spaces endowed with a privileged scale. We show how many classical topological invariants can be generalized to pseudotopological spaces, and how this category and others like it simplify known results and lead to new ones.