Topological Space‐Time Photonic Transitions in Angular‐Momentum‐Biased Metasurfaces
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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
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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
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
On the Topological Structure and Properties of Multidimensional (C, R) Space
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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