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Soft Open Bases and a Novel Construction of Soft Topologies from Bases for Topologies [PDF]
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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Delay-Sensitive Multi-Sensor Routing Scheduling Method for Underground IoT in Mines [PDF]
SensorsRecently, there has been a growing interest in underground construction safety, during activities such as subway construction, underground mining, and tunnel excavation. While Internet of Things (IoT) sensors help to monitor these conditions, large-scale
Yinghui Zhang, Mingli Liu, Aiping Tan
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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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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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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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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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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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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.
Qing Lin He +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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