2005/07/12 by John M. Harris, Harris, John M.
Computer Science · Mathematics · Neuroscience · #54A05 #Analytic and geometric function theory #FOS: Mathematics #General Topology (math.GN) #Nuclear Receptors and Signaling #Optimization and Variational Analysis #math.GN #msc:54A05
paper · pdf · doi:10.48550/arxiv.math/0507230
arxiv created 2005/07/12 · openalex publication_date 2005/07/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we show that a pointwise-symmetric isotonic closure function is uniquely determined by the pairs of sets it separates. We then show that when the closure function of the domain is isotonic and the closure function of the codomain is isotonic and pointwise-symmetric, functions which separate only those pairs of sets which are already separated are continuous.