Convergence is informed by research areas with broad scope

Abstract

ConvS, the category of symmetric convergence spaces, and Chy, the category of Cauchy spaces, are embedded as full subcategories of Katětov's category, Fil, of filter merotopic spaces. ConvS and Chy are pleasantly related to their subcategories ConvR, PretopR, and Haus, not only by sequences of reflectors or coreflectors, but also in that they can be built out of certain of these subcategories by taking merotopic subspaces. © 1990.