Spaces modelled by an algebra on \([0,\infty ]\) and their complete objects
The authors investigate constructs of affine sets over \([0,\infty]\) that are defined by means of a given algebra structure on \([0, \infty]\), endowed with the Zariski closure operator. They establish a duality theory and characterize the complete objects. Moreover, they demonstrate that various familiar constructs fit into this setting, in particular approach spaces, pseudometric spaces, topological spaces and non-Archimedean spaces.
scientific article; zbMATH DE number 5710124
scientific article