Topologies on spaces of subsets and multivalued mappings - Bânzaru - 1997 () Citation Context ... notions of α-open sets and α-open functions in bitopological spaces were studied in [12], [24] and [16]. Some forms of open multifunctions between topological and bitopological spaces ...
1.Topographic study of a given place, especially the history of a region as indicated by its topography. 2.MedicineThe anatomical structure of a specific area or part of the body. 3.Mathematics a.The study of certain properties that do not change as geometric figures or spaces undergo continu...
Existence of continuous selections on spaces of subsets in očan-type topologiesNo Abstract available for this article.doi:10.1007/BF00972221G. PraninskasKluwer Academic Publishers-Plenum PublishersLithuanian Mathematical Journal
In the study of Banach spaces, the development of some key properties require studying topologies on the collection of closed convex subsets of the space. ... MR Farmer - University of North Texas 被引量: 0发表: 2011年 COINCIDENCE OF VIETORIS AND WIJSMAN TOPOLOGIES: A NEW PROOF Let (X, ...
Properties transfer between topologies on function spaces, hyperspaces and underlying spaces Each collection α of families of subsets of X determines a topology α(X, Z) on the space of continuous maps C(X, Z). Interrelations between local propert... S Dolecki - 《Mathematica Pannonica》 被...
Given a topological space (X, %i), let H(X, ql) be the class of all homeomorphisms of (X, ca) onto itself. Everett and Ulam [1], [5] posed the following problem. What topologies 'U exist on X such that H(X, at) =H(X, 'U), i.e., these two topological spaces have exac...
M.Sioen, The Wijsman and Attouch-Wets topologies on hyperspaces revisited - Lowen - 1996 () Citation Context ...a noncompact metric space X, since CldV (X) is non-metrizable, we have to consider topologies different from the Vietoris topology. For a study of hyperspace topologies, we ...
Iterations of quasi-uniform hyperspace constructions Given a quasi-uniform space ( X ,U), we study its Hausdorff quasi-uniformity U H on the set P 0 ( X ) of nonempty subsets of the set X . In particular we ... Hans-Peter A. Künzi - 《Acta Mathematica Hungarica》 被引量: 5发表...
Some hyperspace topologies in function spaces Hyperspace theory has its beginnings in the early years of XX century with the work of Felix Hausdorfi (1868-1942) and Leopold Vietoris (1891-2002). Gi-ven... V Pavlovi 被引量: 0发表: 2007年 On the hyperspace of a quasi-uniform space 1.1....
A T0 space is called sober provided the only irreducibly closed sets are the closures of singletons; a closed set is irreducibly closed if it cannot be written as a union of two of its proper closed subsets. The relationship between hereditarily sober spaces and the lower separation axioms...