Showing math.ATShow all
2 papers · 1 filter
math.AT2025
Grothendieck Topologies and Sheaf Theory for Data and Graphs: An Approach Through Cech Closure Spaces
Antonio Rieser
We initiate the study of sheaves on Cech closure spaces, providing a new, unified approach to sheaf theory on many of the major classes of spaces of interest to applications: topol…
math.AT2024
Semi-coarse Spaces, Homotopy and Homology
Antonio Rieser, Jonathan Treviño-MarroquÃn
We begin the study the algebraic topology of semi-coarse spaces, which are generalizations of coarse spaces that enable one to endow non-trivial `coarse-like' structures to compact…