On Convergence Approach Spaces

The extension of two axioms due to Cook and Fischer to the category CAP of convergence approach spaces leads to the study of non-Archimedean approach spaces as well as two versions of regularity appropriate to CAP and related categories.

[1]  Paul Brock,et al.  Approach Spaces, Limit Tower Spaces, and Probabilistic Convergence Spaces , 1997, Appl. Categorical Struct..

[2]  D. C. Kent,et al.  Probabilistic convergence spaces , 1996, Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics.

[3]  H. Biesterfeldt.  Regular convergence spaces , 1966 .

[4]  R. Lowen.  Approach Spaces A Common Supercategory of TOP and MET , 1989 .

[5]  E. Lowen,et al.  A QUASITOPOS CONTAINING CONV AND MET AS FULL SUBCATEGORIES , 1988 .