Uniformizing (proximal) \(\varDelta\)-topologies.
From MaRDI portal
Publication:1426508
DOI10.1016/S0166-8641(03)00202-5zbMath1041.54026MaRDI QIDQ1426508
E. Meccariello, Somashekhar Amr Naimpally, Giuseppe Di Maio
Publication date: 14 March 2004
Published in: Topology and its Applications (Search for Journal in Brave)
hyperspaceVietoris topologyuniformityproximityFell topologysecond countabilityhypertopologymetrizabilityfirst countability\(\Delta U\)-topology\(\Delta\)-Attouch-Wets topology\(\Delta\)-topologyproximal \(\Delta U\)-topologyproximal \(\Delta\)-topology
Hyperspaces in general topology (54B20) Uniform structures and generalizations (54E15) Proximity structures and generalizations (54E05)
Related Items (9)
On the selection problem for ``metric-proximal hyperspaces ⋮ Uniform structures in the beginning of the third millenium ⋮ Some properties of bornological convergences ⋮ Uniform continuity, uniform convergence, and shields ⋮ Bornological convergence and shields ⋮ The bornology of cofinally complete subsets ⋮ Applications of \(k\)-covers II ⋮ Statistical convergence in topology ⋮ Gap, excess and bornological convergence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Distance functionals and suprema of hyperspace topologies
- On the Fell topology
- Eine Bemerkung über Trennungsaxiome in Räumen von abgeschlossenen Teilmengen topologischer Räume
- A topological notion of boundedness
- A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
- Uniform Continuity on Bounded Sets and the Attouch-Wets Topology
- The Infimal Value Functional and the Uniformization of Hit-and-Miss Hyperspace Topologies
- On The Infimum of the Hausdorff Metric Topologies
- Einige Bemerkungen über der Raum der abgeschlossenen Mengen
- Topologies on Spaces of Subsets
This page was built for publication: Uniformizing (proximal) \(\varDelta\)-topologies.