Chebyshev sets in hyperspaces over a Minkowski space
نویسندگان
چکیده
منابع مشابه
Subbases, Convex Sets, and Hyperspaces
S[ and Sg are then said to separate (or: to screen) S± and S2. Finally, Sf is called a binary subbase if each linked system S^ (zS^ (i.e., a subcollection S^' of ^ of which any two members meet) satisfies ς\Sf'φ 0. It is well-known that a binary subbase is TΊ (cf. van Mill [9, Lemma 1]), that a space carrying a binary subbase is compact (use Alexander's lemma), and that a space is completely re...
متن کاملHyperspaces of Closed Limit Sets
We study Michael’s lower semifinite topology and Fell’s topology on the collection of all closed limit subsets of a topological space. Special attention is given to the subfamily of all maximal limit sets.
متن کاملStructure of the Space of Diametrically Complete Sets in a Minkowski Space
We study the structure of the space of diametrically complete sets in a finite dimensional normed space. In contrast to the Euclidean case, this space is in general not convex. We show that its starshapedness is equivalent to the completeness of the parallel bodies of complete sets, a property studied in [13], which is generically not satisfied. The space in question is, however, always contrac...
متن کاملm-Projections involving Minkowski inverse and range symmetric property in Minkowski space
In this paper we study the impact of Minkowski metric matrix on a projection in the Minkowski Space M along with their basic algebraic and geometric properties.The relation between the m-projections and the Minkowski inverse of a matrix A in the minkowski space M is derived. In the remaining portion commutativity of Minkowski inverse in Minkowski Space M is analyzed in terms of m-projections as...
متن کاملProximality and Chebyshev sets
This paper is a companion to a lecture given at the Prague Spring School in Analysis in April 2006. It highlights four distinct variational methods of proving that a finite dimensional Chebyshev set is convex and hopes to inspire renewed work on the open question of whether every Chebyshev set in Hilbert space is convex.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Glasnik Matematicki
سال: 2007
ISSN: 0017-095X
DOI: 10.3336/gm.42.1.04