G. Di. Maio, L. Hola, E. Meccariello
Notes on hit-and-miss topologies
The paper is published:
Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 52, 19-32 (1998)
- MSC:
- 54B20 Hyperspaces
- 54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
- 54D15 Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.)
- 54E35 Metric spaces, metrizability
Abstract: We give necessary conditions for normality of \DD\!-topologies, where \DD is
stable under closed subsets. We have a complete solution of metrizability
of proximal topology in uniform setting.
Keywords: Hit-and-miss, proximal, hypertopology, bounded, totally bounded, Urysohn family, Keesling family, uniform space, compatible metric, metrizability