On bornological induced pseudonearness

Abstract

Pseudonearness is considered a common tool for studying bornology,b-topology, pseudoproximity, and last but not least,classicalnearness. For anypseudonear space we construct ab-completion, which generalizes the classical com-pletion of nearness spaces. Then, b-compactification is introduced in the context ofstrictbornotopologicalextensions.