3 papers
math.AT2026
Homotopic distances and group-like spaces
Ekansh Jauhari, John Oprea
Homotopic distance is a numerical homotopy invariant that quantifies the homotopic distinction between two or more continuous maps. In this paper, we look at various versions of ho…
math.AT2026
Bochner-type theorems for distributional category
Ekansh Jauhari, John Oprea
We show that in the presence of a geometric condition such as non-negative Ricci curvature, the distributional category of a manifold may be used to bound invariants, such as the f…
math.AT2025
On distributional one-category, diagonal distributional complexity, and related invariants
Ekansh Jauhari, John Oprea
We develop the theory of probabilistic variants of the one-category and diagonal topological complexity, which bound the classical LS-category and topological complexity from below…