Abstract
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.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Biesterfeldt, H. J., Jr.: Regular convergence spaces, Indag. Math. 28(1966), 605-607.
Brock, P.: Probabilistic convergence spaces and generalized metric spaces, Intl. J. Math. and Math. Sci. 21(1998), 439-452.
Brock, P. and Kent, D. C.: Approach spaces, limit Tower spaces, and probablistic convergence spaces, Applied Categoried Structures 5(1997), 99-110.
Cook, C. H. and Fischer, H. R.: Regular convergence spaces, Math. Ann. 174(1967), 1-7.
Lowen, R.: Approach spaces: A common supercategory of TOP and MET, Math. Nachr. 141(1989), 183-226.
Lowen, E. and Lowen, R.: A quasitopos containing CONV and MET as full subcategories, Intl. J. Math. and Math. Sci. II(1988), 417-438.
Richardson, G. D. and Kent, D. C.: Probabilistic convergence spaces, J. Austral. Math. Soc. 61(1996), 1-21.
Robeys, K.: Extensions of products of metric spaces, Doctoral Dissertation, University of Antwerp, 1992.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Brock, P., Kent, D. On Convergence Approach Spaces. Applied Categorical Structures 6, 117–125 (1998). https://doi.org/10.1023/A:1008612905619
Issue Date:
DOI: https://doi.org/10.1023/A:1008612905619