Results 1 to 10 of about 387 (168)

The Infimal Value Functional and the Uniformization of Hit-and-Miss Hyperspace Topologies [PDF]

Proceedings of the American Mathematical Society, 1994
We give necessary and sufficient conditions for the uniformizability of hit-and-miss and proximal hit-and-miss hyperspace topologies defined on the nonempty closed subsets CL
Gerald Beer, Beer Gerald
exaly   +2 more sources

Note on hit-and-miss topologies

Rendiconti Del Circolo Matematico Di Palermo, 2000
The author continues his paper [Rend. Circ. Mat. Palermo, II. Ser. 45, No. 1, 75-83 (1996; Zbl 0907.54010)], concerning hit-and-miss topologies on the set \(\text{Cl}(X)\) of nonempty closed subsets of a topological space \(X\), taking always closed sets to produce the hit-and-miss basic open sets (\(\Delta\)-topologies).
László Zsilinszky
exaly   +3 more sources

On metrization of the hit-or-miss topology using Alexandroff compactification

International Journal of Approximate Reasoning, 2007
The authors consider the hyperspace \(\mathcal F(E)\) of closed subsets of a Hausdorff topological space \(E\), endowed with the so-called Fell topology \(\tau_f\) (termed hit-or-miss topology in the paper) having subbase elements of the form \(\{A\in\mathcal F(E): A\cap U\neq\emptyset\}\) and \(\{A\in\mathcal F(E): A\cap K=\emptyset\}\), where \(U ...
Yangeng Wang
exaly   +3 more sources

Hurewicz and Hurewicz-type star selection principles for hit-and-miss topology

Filomat, 2023
In this paper we continue the study of the characterization of selection principles in the hyperspaces CL(X), K(X), F(X) and CS(X), endowed with the hit-and-miss topology, by using ??(?)-networks and c?(?)-covers of a topological space X. Specifically, we prove theorems which characterize the covering properties Hurewicz, strongly star ...
Ricardo Cruz-Castillo, Alejandro Ramírez-Páramo, Jesús Tenorio   +2 more
openaire   +1 more source

All hypertopologies are hit-and-miss

Applied General Topology, 2002
We solve a long standing problem by showing that all known hypertopologies are hit-and-miss. Our solution is not merely of theoretical importance.
Somshekhar Naimpally
doaj   +1 more source

Baire spaces and hyperspace topologies revisited

Applied General Topology, 2014
It is the purpose of this paper to show how to use approach spaces to get a unified method of proving Baireness of various hyperspace topologies. This generalizes results spread in the literature including the general (proximal) hit-and-miss topologies ...
Steven Bourquin, Laszlo Zsilinszky
doaj   +1 more source

Symmetric Bombay topology

Applied General Topology, 2008
The subject of hyperspace topologies on closed or closed and compact subsets of a topological space X began in the early part of the last century with the discoveries of Hausdorff metric and Vietoris hit-and-miss topology.
Giuseppe Di Maio, Somashekhar Naimpally, Enrico Meccariello   +2 more
doaj   +1 more source

Almost strongly star-Menger and related properties

Applied General Topology
In this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature.
Ricardo Cruz-Castillo, Alejandro Ramírez-Páramo, Jesús F. Tenorio   +2 more
doaj   +1 more source

A hit-and-miss topology for 2^X, C_n(X) and F_n(X) [PDF]

Colloquium Mathematicum, 2009
Benjamín Espinoza, Verónica Martínez-de-la-Vega, Jorge M. Martínez-Montejano   +2 more
openaire   +1 more source

QoS Improvement Using In-Network Caching Based on Clustering and Popularity Heuristics in CCN. [PDF]

Sensors (Basel), 2021
Kumar S, Tiwari R, Hong WC.
europepmc   +1 more source