E. Akofor

collaborators

3 papers

math.GN2026

Set-valued metrics and generalized Hausdorff distances

Earnest Akofor

Let $X$ be a metric space and $B C l (X)$ the collection of nonempty bounded closed subsets of $X$ . We show that Hausdorff distance $d_{H}$ belongs to a specific family of real-valued d…

math.GN2026

Completeness of topological spaces: An induction-free review

Earnest Akofor

Completeness for a (topological) space is often based on the existence of special structures (such as metrics, uniformities, proximities, convergences, etc) that explicitly induce…

math.GN2025

Modulo arithmetic of function spaces: Subset hyperspaces as quotients of function spaces

Earnest Akofor

Let $X$ be a (topological) space and $C l (X)$ the collection of nonempty closed subsets of $X$ . Given a topology on $C l (X)$ , making $C l (X)$ a space, a (subset) hyperspace of $X$ is…