Topological Space‐Time Photonic Transitions in Angular‐Momentum‐Biased Metasurfaces
Sign Up to like & getrecommendations! Published in 2020 at "Advanced Optical Materials"
DOI: 10.1002/adom.202000075
Abstract: In this paper, topological space‐time photonic transition of light in angular‐momentum‐biased metasurfaces is established, which yields a superposition of orbital‐angular‐momentum (OAM)‐carrying beams at distinct frequency harmonics upon scattering whose topological charges and frequency shifts are… read more here.
Keywords: angular momentum; space time; topological space; time photonic ... See more keywords
A Unification of Weakening of Open and Closed Subsets in a Topological Space
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-016-0345-z
Abstract: In this paper, we unify previous definitions of weakened open subsets in a given topological space. We felt necessary to make this unification since we observed recently too many definitions, actually, more or less significant.… read more here.
Keywords: space; new framework; unification weakening; topological space ... See more keywords
On non-cut points and COTS
Sign Up to like & getrecommendations! Published in 2018 at "Topology and its Applications"
DOI: 10.1016/j.topol.2018.03.016
Abstract: Abstract The concept of cut point convex sets is used to study non-cut points of a connected topological space. Some relations between cut point convex sets, H-sets and COTS are established. We prove that an… read more here.
Keywords: topological space; cut points; non cut; connected topological ... See more keywords
Countable successor ordinals as generalized ordered topological spaces
Sign Up to like & getrecommendations! Published in 2018 at "Topology and its Applications"
DOI: 10.1016/j.topol.2018.03.032
Abstract: A topological space $L$ is called a linear ordered topological space (LOTS) whenever there is a linear order $\leq$ on $L$ such that the topology on $L$ is generated by the open sets of the… read more here.
Keywords: countable successor; space; ordered topological; topology ... See more keywords
Automatic discovery of optimal microwave photonic architectures in a complete topological space.
Sign Up to like & getrecommendations! Published in 2025 at "Optics express"
DOI: 10.1364/oe.571575
Abstract: Microwave photonics (MWPs) has become a ground-breaking driving force for the evolution of radar, wireless communication, and computing systems, as it merges the technical advantages of microwave and photonics. However, the conventional design strategies of… read more here.
Keywords: architectures complete; system; topological space; complete topological ... See more keywords
Reversibility of Tk-topological spaces and the universality problem for the collection of Tk-topological spaces
Sign Up to like & getrecommendations! Published in 2025 at "Filomat"
DOI: 10.2298/fil2505585l
Abstract: As a generalization of the Khalimsky line topological space, consider the topological space (Z, Tk) (resp. (Z, T?k)) on the set of integers, where the topology Tk (resp. T?k) is generated by the set Sk… read more here.
Keywords: topological space; topological spaces; problem; space ... See more keywords
Constructions and Properties of Quasi Sigma-Algebra in Topological Measure Space
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DOI: 10.3390/axioms11090425
Abstract: The topological views of a measure space provide deep insights. In this paper, the sigma-set algebraic structure is extended in a Hausdorff topological space based on the locally compactable neighborhood systems without considering strictly (metrized)… read more here.
Keywords: topological space; measure space; space; quasi sigma ... See more keywords
A Novel View of Closed Graph Function in Nano Topological Space
Sign Up to like & getrecommendations! Published in 2024 at "Axioms"
DOI: 10.3390/axioms13040270
Abstract: The objective of this research is to describe and investigate a novel class of separation axioms and discuss some of their fundamental characteristics using a nano weakly generalized closed set. In nano topological space, Nwg-closed… read more here.
Keywords: novel view; topological space; closed graph; graph ... See more keywords
On the Topological Structure and Properties of Multidimensional (C, R) Space
Sign Up to like & getrecommendations! Published in 2020 at "Symmetry"
DOI: 10.3390/sym12091542
Abstract: Generally, the linear topological spaces successfully generate Tychonoff product topology in lower dimensions. This paper proposes the construction and analysis of a multidimensional topological space based on the Cartesian product of complex and real spaces… read more here.
Keywords: space topological; space; complex subspace; real plane ... See more keywords