Results 11 to 20 of about 414,743 (311)
Liquid-crystal-based topological photonics [PDF]
Proceedings of the National Academy of Sciences, 2021 SignificanceLiquid crystals are complex fluids that combine a unique ability to manipulate light with the reconfigurability of soft materials. They are at the core of modern display technology. Here, we suggest that nematic liquid crystals can also be used as building blocks of topological materials key to realize protected unidirectional waveguides ...
Abbaszadeh, H. +3 more
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Topological Design of a Mortar Base Plate under Impact Loads
Shock and Vibration, 2021 In this work, the topology optimization of a mortar base plate is analysed under impact loading conditions. Usually, in this case, only ordinary topology optimization under volume constraints is considered.
Fengfeng Wang, Guolai Yang
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Hybrid topologies on the real line
Applied General Topology, 2023 Given A ⊆ ℝ , the Hattori space H(A) is the topological space ( ℝ , τA ) where each a ∈ A has a τA -neighborhood base { ( a − ε , a + ε ) : ε > 0 } and each b ∈ ℝ − A has a τA -neighborhood base { [ b , b + ε ) : ε > 0 } .
Tom Richmond
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On the Linear Weak Topology and Dual Pairings over Rings [PDF]
, 2004 In this note we study the weak topology on paired modules over a (not necessarily commutative) ground ring. Over QF rings we are able to recover most of the well known properties of this topology in the case of commutative base fields.
Abuhlail, Jawad Y.
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Functorial topologies and finite-index subgroups of abelian groups [PDF]
, 2011 In the general context of functorial topologies, we prove that in the lattice of all group topologies on an abelian group, the infimum between the Bohr topology and the natural topology is the profinite topology. The profinite topology and its connection
Bruno, Anna Giordano, Dikranjan, Dikran
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Cardinalities of topologies with small base
Annals of Pure and Applied Logic, 1994 Let T be the family of open subsets of a topological space (not necessarily Hausdorff or even T_0). We prove that if T has a base of cardinality <= mu, lambda <= mu < 2^lambda, lambda strong limit of cofinality aleph_0, then T has cardinality <= mu or >= 2^lambda. This is our main conclusion.
Saharon Shelah, Saharon Shelah
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Topological rainbow based on coupling of topological waveguide and cavity
Optics Express, 2023 Topological photonics and topological photonic states have opened up a new frontier for optical manipulation and robust light trapping. The topological rainbow can separate different frequencies of topological states into different positions. This work combines a topological photonic crystal waveguide (topological PCW) with the optical cavity.
Sayed Elshahat, Hongyu Zhang, Cuicui Lu
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Topology-based Sparsification of Graph Annotations [PDF]
Bioinformatics, 2020 AbstractSince the amount of published biological sequencing data is growing exponentially, efficient methods for storing and indexing this data are more needed than ever to truly benefit from this invaluable resource for biomedical research. Labeled de Bruijn graphs are a frequently-used approach for representing large sets of sequencing data.
Gunnar Rätsch +11 more
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Separation functions and mild topologies
Analysis and Geometry in Metric Spaces, 2023 Given MM and NN Hausdorff topological spaces, we study topologies on the space C0(M;N){C}^{0}\left(M;\hspace{0.33em}N) of continuous maps f:M→Nf:M\to N. We review two classical topologies, the “strong” and the “weak” topology. We propose a definition of “
Mennucci Andrea C. G.
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Topology Based Object Tracking [PDF]
Mathematical and Computational Applications, 2019 A model for tracking objects whose topological properties change over time is proposed. Such changes include the splitting of an object into multiple objects or the merging of multiple objects into a single object. The proposed model employs a novel formulation of the tracking problem in terms of homology theory whereby 0-dimensional homology classes ...
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