![]() ![]() Seemingly unrelated to this, we construct an almost totally minimal. In the present paper it is shown that the same result can be obtained for the hyperspace of nonempty max-plus convex (also called tropical convex) compact subsets instead. We give some necessary conditions on admissible sets of periods for these maps. In the present paper it is shown that the same result can be obtained for the hyperspace of nonempty max-plus convex (also called tropical convex) compact subsets instead.ĪB - The paper deals with hyperspaces of compact convex sets built on an open subspace of Rn and presents a counterpart for Montejano's theorem which states that for an open subset U of Rn, with n ? 2, the hyperspace of nonempty compact convex subsets contained in U endowed with the Hausdorff metric is homeomorphic to the Q?manifold U × Q × ?. For a metric space X (X ) let C(X) be the set of all continuous real valued functions of X and Cld(X) be the set of all non-empty closed subsets of X. N2 - The paper deals with hyperspaces of compact convex sets built on an open subspace of Rn and presents a counterpart for Montejano's theorem which states that for an open subset U of Rn, with n ? 2, the hyperspace of nonempty compact convex subsets contained in U endowed with the Hausdorff metric is homeomorphic to the Q?manifold U × Q × ?. Zbl0663.T1 - Review on: Hyperspaces of max-plus and max-min convex sets Fundamental and recent advences, Marcel Dekker, Inc., New York, 1999. ![]() van Mill, Infinite-Dimensional Topology: prerequisites and introduction, North- Holland, Amsterdam 1989. Nadler, Hyperspaces of Sets, Marcel Dekker, New York 1978. Select the Edition for Hyperspaces of Sets : A Text with Research Questions Below: Edition Name HW Solutions Join Chegg Study and get: Guided textbook solutions created by Chegg experts Learn from step-by-step solutions for over 34,000 ISBNs in Math, Science, Engineering, Business and more 24/7 Study Help. Mazurkiewicz, Sur l'ensemble des continus péaniens, ibid., 273-274. Kuratowski, Evaluation de la classe borélienne ou projective d'un ensemble de points à l'aide des symboles logiques, Fund. Mogilski, On topological classification of function spaces C p ( X ) of low Borel complexity, Trans. Mogilski, The space of infinite-dimensional compacta and other topological copies of ( l f 2 ) ω, Pacific J. ![]() Mogilski, The topological product structure of systems of Lebesgue spaces, Math. ![]() Bulletin of the Polish Academy of Sciences. Schori, Hyperspaces of Peano continua are Hilbert cubes, Fund. Hyperspaces of Finite Sets in Universal Spaces for Absolute Borel Classes Kotaro Mine Katsuro Sakai Masato Yaguchi. Curtis, Hyperspaces of finite subsets as boundary sets, Topology Appl. Cauty, L'espace des arcs d'une surface, Trans. Cauty, L'espace des fonctions continues d'un espace métrique dénombrable, Proc. Then the mapping defines a one-to-one correspondence between the set of all -invariant fuzzy sub-hyperspaces of and the set of all fuzzy sub-hyperspaces of. Mogilski, Characterizing certain incomplete infinite dimensional absolute retracts, Michigan Math. The Vietoris topology on A is also generated by the standard basis consisting of all sets. Pełczyński, Selected Topics in Infinite-Dimensional Topology, PWN, Warszawa 1975. subsets of a topological space (X, ), or as the entire P0(X). van Mill, Absorbing systems in infinite-dimensional manifolds, Topology Appl., to appear. ![]()
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