Let (X, m, H) be a hereditary m-space. A subset A of X is said to be θ-H-compact relative to X if for every cover U of A by m(θ)- open sets of X, there exists a finite subset U0 of U such that A \\ ∪ U0 ∈ H. We obtain several properties of ...
Part I: The Space of Directed Sets A normed and partially ordered vector space of so-called 'directed sets' is constructed, in which the convex cone of all nonempty convex compact sets in R ... R Baier,EM Farkhi - Set-Valued Analysis 被引量: 75发表: 2001年 Regularity properties of H...
First he proves that, given two compact sets E 1 and E 2 in n and two strongly non-quasianalytic Whitney jets F 1 and F 2 defined on E 1 and E 2 , respectively, that coincide on E 1 ∩E 2 , there exists a simultaneous strongly non-quasianalytic extension of both F j to n ...
G. Tsar’kov, ‘‘Ball-complete sets and solar properties of sets in asymmetric spaces,’’ Result. Math. 77, 86 (2022). Article MathSciNet Google Scholar A. R. Alimov and I. G. Tsar’kov, ‘‘Approximatively compact sets in asymmetric Efimov–Stechkin spaces and convexity of almost...
General successive convex relaxation methods (SRCMs) can be used to compute the convex hull of any compact set, in an Euclidean space, described by a system of quadratic inequalities and a compact convex set. Linear complementarity problems (LCPs) make an interesting and rich class of structured...
In this note we shall consider the following problem: which conditions should satisfy a function : (0, 1) → in order to guarantee the existence of a (regular) measure μ in with compact support and for some positive constants 2, and 2 independent of γ∈Γ and ∈ (0,1)? The theory...
THE STRUCTURE OF COMPACT SETS GENERATING NORMAL DOMAINS, AND REMOVABLE SINGULARITIES FOR THE SPACE $ L_p^1(D)$ A study is made of the properties of p-normal domains in R(n) (1 < p < + infinity), which will be minimal in the Koebe sense or normal in the Grotzsch sense when n =...
compact subsetsclosed conespointed conesconvex cones/ B0250 Combinatorial mathematics B0260 Optimisation techniques C1160 Combinatorial mathematics C1180 Optimisation techniquesThis paper contains new properties of the corresponding efficient (Pareto) points sets for non-empty (compact) subsets in separated ...
This contribution combines a relatively comprehensive review of the spectroscopic study of the individual component stars and their associated disks in you
Let $U$ be an open relatively compact subanalytic subset of a real analytic manifold. We show that there exists a finite linear covering (in the sense of G... A Parusinski 被引量: 12发表: 2014年 Notes on (SSP) sets Sampaio recently showed that bi-Lipschitz homeomorphic subanalytic sets...