65 citations · 214 across the 19 of their papers we have counts for
19 papers
On the Sequential Test and Distributed Detection
Earnest Akofor
We present a simple definition of stopping time and its role in the formulation of sequential tests for both centralized and distributed detection, providing a straightforward proc…
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…
Set-valued metrics and generalized Hausdorff distances
Earnest Akofor
Let be a metric space and the collection of nonempty bounded closed subsets of . We show that Hausdorff distance belongs to a specific family of real-valued d…
Modulo arithmetic of function spaces: Subset hyperspaces as quotients of function spaces
Earnest Akofor
Let be a (topological) space and the collection of nonempty closed subsets of . Given a topology on , making a space, a (subset) hyperspace of is…
On Quasiconvexity of Precompact-Subset Spaces
Earnest Akofor
Let be a metric space and the collection of nonempty bounded closed subsets of as a metric space with respect to Hausdorff distance. We study both characterization…
Basic Set Theory and Algebra: Hints on Representation, Topology, Geometry, Analysis
Earnest Akofor
In these self-contained low prerequisite introductory notes we first present (in part 1) basic concepts of set theory and algebra without explicit category theory. We then present…