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Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light. Drawing inspiration from the discovery of the quantum Hall effects and topological insulators in condensed matter, recent advances have shown how to engineer analogous effects also for ...
Ozawa, Tomoki +10 more
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The aim of this paper is to establish the existence of at least three weak solutions for the following elliptic Neumann problem {-Δp→(x)u+α(x)|u|p0(x)-2u=λf(x,u)inΩ,∑i=1N|∂u∂xi|pi(x)-2∂u∂xiγi=0on∂Ω,\left\{ {\matrix{ { - {\Delta _{\vec p\left( x \right)}}
Ahmed Ahmed +1 more
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Topological Algebras and Mackey Topologies [PDF]
Let E be a locally m-convex algebra with dual space E ′ E’ . In a recent paper S. Warner asked if the finest locally m-convex topology on E compatible with E ′ E’ was the mackey topology. It is shown that this is not the case.
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Topological states of fermionic matter can be induced by means of a suitably engineered dissipative dynamics. Dissipation then does not occur as a perturbation, but rather as the main resource for many-body dynamics, providing a targeted cooling into a ...
Baranov, M. A. +6 more
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Dilemmas and countermeasures of Fe-based biomaterials for next-generation bone implants
Fe-based biodegradable materials as next-generation bone implants attract considerable attentions due to outstanding mechanical properties and favorable biocompatibility.
Sheng Li +6 more
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Vector lattices with a Hausdorff uo-Lebesgue topology
We investigate the construction of a Hausdorff uo-Lebesgue topology on a vector lattice from a Hausdorff (o)-Lebesgue topology on an order dense ideal, and what the properties of the topologies thus obtained are.
de Jeu, Marcel, Deng, Yang
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Error-Correcting Codes on Projective Bundles over Deligne–Lusztig Varieties
The aim of this article is to give lower bounds on the parameters of algebraic geometric error-correcting codes constructed from projective bundles over Deligne–Lusztig surfaces.
Daniel Camazón Portela +1 more
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Strict Topologies as Topological Algebras [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Bi-Compact-Open Topology on C(X)
For the set C(X) of real-valued continuous functions on a Tychonoff space X, the compact-open topology on C(X) is a "set-open topology". This paper studies the separation and countability properties of the space C(X) having the topology given by the join
Jindal, Anubha, Kundu, S., McCoy, R. A.
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