Results 11 to 20 of about 28,648,109 (379)
$P$-bases and topological groups [PDF]
Proceedings of the American Mathematical Society, 2021 A topological space $X$ is defined to have a neighborhood $P$-base at any $x\in X$ from some poset $P$ if there exists a neighborhood base $(U_p[x])_{p\in P}$ at $x$ such that $U_p[x]\subseteq U_{p'}[x]$ for all $p\geq p'$ in $P$. We prove that a compact space is countable, hence metrizable, if it has countable scattered height and a $\mathcal{K}(M ...
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Topological Nanophotonic Wavelength Router Based on Topology Optimization [PDF]
Micromachines, 2021 The topological nanophotonic wavelength router, which can steer light with different wavelength signals into different topological channels, plays a key role in optical information processing. However, no effective method has been found to realize such a topological nanophotonic device.
Hongyi Yuan +5 more
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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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The Upgrade of Topological Group Based on a New Hyper-topology [PDF]
Fuzzy Information and Engineering, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong, Yu-Bin, Li, Hong-Xing
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Partitioning bases of topological spaces [PDF]
Electronic Notes in Discrete Mathematics, 2013 We investigate whether an arbitrary base for a dense-in-itself topological space can be partitioned into two bases. We prove that every base for a T_3 Lindel f topology can be partitioned into two bases while there exists a consistent example of a first countable, 0-dimensional, Hausdorff space of size continuum and weight _1 which admits a point ...
Soukup, Dániel Tamás, Soukup, Lajos
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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.
Daniel Danciu +4 more
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An operator-based approach to topological photonics
Nanophotonics, 2022 Abstract Recently, the study of topological structures in photonics has garnered significant interest, as these systems can realize robust, nonreciprocal chiral edge states and cavity-like confined states that have applications in both linear and nonlinear devices.
Alexander Cerjan, Terry A. Loring
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Evaluation of RNA secondary structure prediction for both base-pairing and topology
Biophysics Reports, 2018 Graphical abstractAbstractSecondary structures of RNAs are crucial to the understanding of their tertiary structures and functions. At present, many theoretical methods are widely used to predict RNA secondary structures. The performance of these methods
Yunjie Zhao +3 more
semanticscholar +1 more source
A universal approach to coverage probability and throughput analysis for cellular networks [PDF]
, 2015 This paper proposes a novel tractable approach for accurately analyzing both the coverage probability and the achievable throughput of cellular networks.
Chen, Sheng +4 more
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On The Stability Of Fixed Points In Topological Spaces
Journal of Kufa for Mathematics and Computer, 2014 In this papers we introduced new concepts of stability: strongly stable, c-stable, and c-strongly stable. We discussed the stability of fixed points with respect to each of a topology and a base for that topology.
Abedal-Hamza Mahdi Hamza +1 more
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