Subcategories of filter tower spaces
Abbreviated Journal Title
Appl. Categ. Struct.
filter tower spaces; convergence approach spaces; completions; t-norm; T-regular sequences; Mathematics
The concept of a convergence tower space, or equivalently, a convergence approach space is formulated here in the context of a Cauchy setting in order to include a completion theory. Subcategories of filter tower spaces are defined in terms of axioms involving a general t-norm, T, in order to include a broad range of spaces. A T-regular sequence for a filter tower space is defined and, moreover, it is shown that the category of T-regular objects is a bireflective subcategory of all filter tower spaces. A completion theory for subcategories of filter tower spaces is given.
Applied Categorical Structures
"Subcategories of filter tower spaces" (2001). Faculty Bibliography 2000s. 8135.