Results 1 to 10 of about 444,519 (336)
When ${\rm Min}(G)^{-1}$ has a clopen $øldpi$-base [PDF]
Mathematica Bohemica, 2021 It is our aim to contribute to the flourishing collection of knowledge centered on the space of minimal prime subgroups of a given lattice-ordered group. Specifically, we are interested in the inverse topology. In general, this space is compact and $T_1$,
Ramiro Lafuente-Rodriguez +1 more
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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 insulators-based magnetic heterostructures [PDF]
Advances in Physics: X, 2021 The combination of magnetism and topology in magnetic topological insulators (MTIs) has led to unprecedented advancements of time reversal symmetry-breaking topological quantum physics in the past decade. Compared with the uniform films, the MTI heterostructures provide a better framework to manipulate the spin-orbit coupling and spin properties.
Qi Yao +4 more
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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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An Operational Characterization of Soft Topologies by Crisp Topologies
Mathematics, 2021 This paper contributes to the expanding literature on soft topology. We first prove that soft topologies can be characterized by crisp topologies. This takes advantage of two connected constructions that produce soft topologies from crisp topologies and ...
José Carlos R. Alcantud
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$P$-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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New Global Referencing Approach in a Camera-LCD Micro Positioning System
Sensors, 2020 In any precision manufacturing process, positioning systems play a very important role in achieving a quality product. As a new approach to current systems, camera-LCD positioning systems are a new technology that can provide substantial improvements ...
Óscar de Francisco Ortiz +2 more
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A true test research of topology identification technology for low voltage distribution networks
Zhejiang dianli, 2022 Architectural topologies of low voltage distribution networks are hard to “figure out” and “poor in interaction”. Therefore， many topology identification methods have been proposed， most of which have been simulated rather than tested on lines. Thus， low-
CHEN Shang +6 more
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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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Soft Open Bases and a Novel Construction of Soft Topologies from Bases for Topologies
Mathematics, 2020 Soft topology studies a structure on the collection of all soft sets on a given set of alternatives (the relevant attributes being fixed). It is directly inspired by the axioms of a topological space.
José Carlos R. Alcantud
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