Results 11 to 20 of about 15,188 (171)
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
doaj +6 more sources
No Evidence for Unconscious Attentional Bias in People With Clinically Significant Symptoms of Functional Gastrointestinal Disorders: A Study Using the Emerging Electroencephalographic Paradigm of Fast Periodic Visual Stimulation. [PDF]
Neurogastroenterol MotilFast Periodic Visual Stimulation (FPVS) is a brief behaviour‐free method with potential to capture unconscious attentional bias towards symptoms and negative stimuli in people with disorders of brain‐gut interaction. We compared a symptomatic group with a control group on FPVS indices and found no meaningful group differences, but make recommendations ...
McKerchar S +6 more
europepmc +2 more sources
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
openaire +2 more sources
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
openaire +2 more sources
Developable hyperspaces are metrizable
Applied General Topology, 2003 Developability of hyperspace topologies (locally finite, (bounded) Vietoris, Fell, respectively) on the nonempty closed sets is characterized. Submetrizability and having a Gδ-diagonal in the hyperspace setting is also discussed.
L'Ubica Holá +2 more
doaj +1 more source
Free Cells in Hyperspaces of Graphs
Mathematics, 2021 Often for understanding a structure, other closely related structures with the former are associated. An example of this is the study of hyperspaces. In this paper, we give necessary and sufficient conditions for the existence of finitely-dimensional ...
José Ángel Juárez Morales +3 more
doaj +1 more source
Topological dynamics on hyperspaces
Applied General Topology, 2010 In this paper we wish to relate the dynamics of the base map to the dynamics of the induced map. In the process, we obtain conditions on the endowed hyperspace topology under which the chaotic behaviour of the map on the base space is inherited by the ...
Puneet Sharma, Anima Nagar
doaj +1 more source
Informal Norm in Hyperspace and Its Topological Structure
Mathematics, 2019 The hyperspace consists of all subsets of a vector space. Owing to a lack of additive inverse elements, the hyperspace cannot form a vector space. In this paper, we shall consider a so-called informal norm to the hyperspace in which the axioms regarding ...
Hsien-Chung Wu
doaj +1 more source
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
doaj +1 more source
Dynamic properties of the dynamical system SFnm(X), SFnm(f))
Applied General Topology, 2020 Let X be a continuum and let n be a positive integer. We consider the hyperspaces Fn(X) and SFn(X). If m is an integer such that n > m ≥ 1, we consider the quotient space SFnm(X). For a given map f : X → X, we consider the induced maps Fn(f) : Fn(X) → Fn(
Franco Barragán +2 more
doaj +1 more source