Title
|
|
|
|
Functional ideals and topological theories
| |
Author
|
|
|
|
| |
Abstract
|
|
|
|
In this paper we give new and unified isomorphic characterizations of approach spaces, pre-approach spaces, convergence approach spaces, uniform gauge spaces, topological spaces, convergence spaces, pretopological spaces, metric spaces and uniform spaces. The unified treatment is made possible by the use of a type of ideals of positive real-valued functions, a concept, richer and more appropriate than filters for our purpose. |
| |
Language
|
|
|
|
English
| |
Source (journal)
|
|
|
|
Houston journal of mathematics. - Houston, Tex.
| |
Publication
|
|
|
|
Houston, Tex.
:
2008
| |
ISSN
|
|
|
|
0362-1588
| |
Volume/pages
|
|
|
|
34
:4
(2008)
, p. 1065-1089
| |
ISI
|
|
|
|
000264434800008
| |
|