Results 1 to 10 of about 3,669 (222)
TheoLogica, 2020 Several philosophers of religion have used contemporary work on the metaphysics of space to dismantle objections to Christian doctrine. In this paper I shall also make use of work in the metaphysics of space to explore a topic in Christian thought that ...
Ben Page
doaj +4 more sources
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 +2 more sources
An application of neutrosophic theory on manifolds and their topological transformations [PDF]
Neutrosophic Sets and Systems, 2023 This paper presents an investigation into the mathematical concepts of neutrosophic folding and neuretraction on neutrosophic manifolds, specifically focusing on their application in hyperspace.
Mohammed Abu-Saleem +2 more
doaj +3 more sources
Some Results on Pixley–Roy Hyperspaces
Journal of Mathematics, 2022 In this paper, we prove that if a space X has a point-countable cn-network, then the Pixley-Roy hyperspace PRX also has a point-countable cn-network. If X is a regular space with a point-countable ck-network, then so does the Pixley-Roy hyperspace PRX ...
Ljubiša D. R. Kočinac +2 more
doaj +1 more source
When is the space of semi-additive functionals an absolute (neighbourhood) retract?
Pracì Mìžnarodnogo Geometričnogo Centru, 2022 In the present paper proved that if for a given compact Hausdorff space X the hyperspace exp(X) is a contractible compact space then the space OSf(X) is also a contractible compact space.
Adilbek Atakhanovich Zaitov +1 more
doaj +1 more source
Near Fixed Point Theorems in Hyperspaces
Mathematics, 2018 The hyperspace consists of all the subsets of a vector space. It is well-known that the hyperspace is not a vector space because it lacks the concept of inverse element. This also says that we cannot consider its normed structure, and some kinds of fixed
Hsien-Chung Wu
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
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
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
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