Results 1 to 10 of about 2,822 (176)
Applied General Topology, 2003 We prove that the hyperspace of closed bounded sets with the Hausdor_ topology, over an almost convex metric space, is an absolute retract. Dense subspaces of normed linear spaces are examples of, not necessarily connected, almost convex metric spaces ...
Camillo Constantini, Wieslaw Kubís
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Algebraic characterisation of hyperspace corresponding to topological vector space [PDF]
Journal of Hyperstructures, 2023 Let X be a Hausdor topological vector space over the field of real or complex numbers. When Vietoris topology is given,the hyperspace ℘(X) of all nonempty compact subsets of X forms a topological exponential vector space over the same field. Exponential
Jayeeta Saha, Sandip Jana
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Induced mappings on $C_n(X)/{C_n}_K(X)$
Математичні Студії, 2021 Given a continuum $X$ and $n\in\mathbb{N}$. Let $C_n(X)$ be the hyperspace of all nonempty closed subsets of $X$ with at most $n$ components. Let ${C_n}_K(X)$ be the hyperspace of all elements in $C_n(X)$ containing $K$ where $K$ is a compact subset of ...
E. Castañeda-Alvarado +2 more
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Orbit Tracing Properties on Hyperspaces and Fuzzy Dynamical Systems
Axioms, 2022 Let X be a compact metric space and a continuous map f:X→X which defines a discrete dynamical system (X,f). The map f induces two natural maps, namely f¯:K(X)→K(X) on the hyperspace K(X) of non-empty compact subspaces of X and the Zadeh’s extension f^:F ...
Salud Bartoll +3 more
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Continua whose hyperspace of subcontinua is infinite dimensional and a cone
Extracta Mathematicae, 2023 We determine several classes of continua whose hyperspaces of subcontinua are infinite dimensional and homeomorphic to cones over (usually) other continuum. In particular, we obtain many Peano continua with such a property.
S. Macías, S.B. Nadler
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Asymptotic properties of the (convex) hyperspaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2020 It is known that the hyperspaces of compact sets and compact convex set of the Euclidean space $\mathbb R^n$, $n\ge2$, both are homeomorphic to the puctured Hilbert cube.
Mykhailo Zarichnyi, Mykhailo Romanskyi
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Frictional hyperspheres in hyperspace [PDF]
Physical Review E, 2021 We extend the formulation of the discrete element method, which is typically used to simulate granular media, to describe arbitrarily large numbers of spatial dimensions and the collisions of frictional hyperspheres in these simulations. These higher dimensional simulations require complex visualization techniques, which are also developed here.
François Guillard, Benjy Marks
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Multivalued linear transformations of hyperspaces
Ratio Mathematica, 2014 The purpose of this paper is the study of multivalued linear transformations of hypervector spaces (or hyperspaces) in the sense of Tallini. In this regards first we introduce and study various multivalued linear transformations of hyperspaces and then ...
R. Ameri, R. A. Borzooei, K. Ghadimi
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Higher Spins in Hyperspace [PDF]
, 2014 We consider the Sp(2n) invariant formulation of higher spin fields on flat and curved backgrounds of constant curvature.In this formulation an infinite number of higher spin fields are packed into single scalar and spinor master fields (hyperfields ...
Florakis, Ioannis +2 more
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Selection games on hyperspaces [PDF]
Topology and its Applications, 2021 In this paper we connect selection principles on a topological space to corresponding selection principles on one of its hyperspaces. We unify techniques and generalize theorems from the known results about selection principles for common hyperspace constructions. This includes results of Lj.D.R. Ko inac, Z. Li, and others.
Caruvana, Christopher, Holshouser, Jared
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