Title

Subcategories Of Filter Tower Spaces

Keywords

Completions; Convergence approach spaces; Filter tower spaces; T-norm; T-regular sequences

Abstract

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.

Publication Date

1-1-2001

Publication Title

Applied Categorical Structures

Volume

9

Issue

4

Number of Pages

369-379

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1023/A:1011226611840

Socpus ID

0035389862 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0035389862

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