Results 31 to 40 of about 2,822 (176)
AppliedMathMathematician and philosopher Charles Howard Hinton posited a plausible correlation between higher-dimensional spaces, also referred to as ‘hyperspaces’, and the allegorical concept articulated by the Ancient Greek philosopher Plato in his work, Republic,
Dimitrios Traperas +2 more
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On hyperspaces of max-plus and max-min convex sets
ESAIM: Proceedings and Surveys, 2017 The paper is devoted to some new results concerning the topology of hyperspaces of max-plus convex subsets in Euclidean spaces and some other spaces.
Bazylevych Lidiya, Zarichnyi Mykhailo
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International Journal of Satellite Communications and Networking, EarlyView.ABSTRACT This study analyzes the architecture of the beyond 5G‐NTN (Non‐terrestrial Network) integrated network and presents the technical, legal, and regulatory challenges and considerations for expanding the Artificial Intelligence of Things (AIoT) ecosystem.
Byung Woon Kim, Ga Eun Choi
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Almost strongly star-Menger and related properties
Applied General TopologyIn this paper we introduce the almost strongly star-Menger property and we provide some results and relationships with another known properties in literature.
Ricardo Cruz-Castillo +2 more
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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
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Primitive icosahedral quasicrystals in ZnMgLi(Dy, Ho, Er, Tm) systems
Acta Crystallographica Section A, EarlyView.The study introduces new primitive icosahedral quasicrystals in Zn–Mg–Li–(Dy, Ho, Er, Tm) systems. Quasicrystals are studied with an X‐ray diffraction technique resolving the local atomic structure.New quasicrystals with rare‐earth elements and Li are synthesized with the self‐flux method. The starting composition involves 62.8 at.% Zn, 28.6 at.% Mg, 3.
Ireneusz Buganski +6 more
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Cellular-compact and cellular-Lindelöf on hyperspaces
Researches in MathematicsThe generalized metric properties on hyperspaces with the Pixley-Roy topology and the Vietoris topology have been studied by many authors. They considered several generalized metric properties and studied the relation between a space $X$ satisfying such ...
L.Q. Tuyen, O.V. Tuyen, N.X. Truc
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Tychonoff's Theorem for Hyperspaces [PDF]
Proceedings of the American Mathematical Society, 1973 If exp ( X i ) ∖ { ∅ } \exp ({X_i})\backslash \{ \emptyset \} is equipped with a topology that preserves the topological convergence of nets of sets for every i ∈ I i \in I , then the ...
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Exploring oxide quasicrystals in internal space
Acta Crystallographica Section A, EarlyView.The internal space expansion with variable system size is investigated for three different oxide quasicrystal systems. Patches of 7800, 4800 and 3600 vertices are examined in Ba–Ti–O/Pt(111), Eu–Ti–O/Pd(111) and Sr–Ti–O/Pd(111), respectively. This internal space inspection provides unique structural information for quasicrystalline systems, which goes ...
Sebastian Schenk +3 more
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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
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