A Note on Neighbourhoods for Approach Spaces

Year 2012, Volume: 41 Issue: 2, 283 - 290, 01.02.2012

Gunther Jaeger

Keywords

-

References

• Brock, P. and Kent, D. C. Approach spaces, limit tower spaces, and probabilistic convergence spaces, Applied Categorical Structures 5, 99–110, 1997.
• Brock, P. and Kent, D. On convergence approach spaces, Applied Categorical Structures 6, 117–125, 1998.
• Kowalsky, J. Limesr¨aume und Komplettierung, Math. Nachr. 12, 301–340, 1954.
• Lowen, R. Approach spaces. A common supercategory of TOP and MET, Math. Nachr. 141, 183–226, 1989.
• Lowen, R. Approach Spaces. The Missing Link in the Topology-Uniformity-Metric Triad (Claredon Press, Oxford, 1997).
• Lowen, R. and Sioen, M. A note on separation in AP, Applied General Topology 4, 475–486, 2003.
• Lowen, R. and Windels, B. AUnif: A common supercategory of pMET and Unif, Int. J. Math& Math. Sci. 21, 1–18, 1998.
• Nauwelaerts, M. The Cartesian closed topological hull of the category of approach uniform spaces, Rocky Mount. J. Math. 31, 1373–1405, 2001.