Results 11 to 20 of about 1,845 (184)
Induced dynamics on the hyperspaces
Applied General Topology, 2016 In this paper, we study the dynamics induced by finite commutative relation on the hyperspaces. We prove that the dynamics induced on the hyperspace by a non-trivial commutative family of continuous self maps cannot be transitive and hence cannot exhibit
Puneet Sharma
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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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GRAVITATIONAL WAVES IN THE HYPERSPACE? [PDF]
Modern Physics Letters A, 2009 In the framework of the debate on high-frequency gravitational waves (GWs), after a review of GWs in standard General Relativity, which is due for completness, the possibility of merging such a traditional analysis with the hyperspace formalism that has been recently introduced in some papers in the literature, with the goal of a better understanding ...
Corda, Christian +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. Kočinac, Z. Li, and others.
Caruvana, Christopher, Holshouser, Jared
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Mathematics of Digital Hyperspace [PDF]
2021 IEEE International Parallel and Distributed Processing Symposium Workshops (IPDPSW), 2021 9 pages, 8 figures, 2 tables, accepted to GrAPL 2021. arXiv admin note: text overlap with arXiv:1807.03165, arXiv:2004.01181, arXiv:1909.05631, arXiv:1708 ...
Jeremy Kepner +4 more
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On hyperspaces of polyhedra [PDF]
Proceedings of the American Mathematical Society, 1990 Let Q = [ −
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Applied General Topology, 2023 In this article, we investigate the notion of setwise betweenness, a concept introduced by P. Bankston as a generalisation of pointwise betweenness. In the context of continua, we say that a subset C of a continuum X is between distinct points a and b of
Qays R. Shakir
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CL(R) is simply connected under the Vietoris topology
Applied General Topology, 2007 In this paper we present a proof by construction that the hyperspace CL(R) of closed, nonemtpy subsets of R is simply connected under the Vietoris topology. This is useful in considering the convergence of time scales.
N.C. Esty
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Dynamical property of hyperspace on uniform space
Demonstratio Mathematica, 2023 First, we introduce the concepts of equicontinuity, expansivity , ergodic shadowing property, and chain transitivity in uniform space. Second, we study the dynamical properties of equicontinuity, expansivity , ergodic shadowing property, and chain ...
Ji Zhanjiang
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