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Minimal Convergence Spaces [PDF]
Transactions of the American Mathematical Society, 1971 We are primarily concerned with minimal P {\text {P}} convergence spaces, where P {\text {P}} is one of the following convergence space properties: Hausdorff, T 2 , λ {{\text {T}}_2 ...
Kent, Darrell C., Richardson, G. D.
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Concrete functors that respect initiality and finality
Applied General Topology, 2023 We study concrete endofunctors of the category of convergence spaces and continuous maps that send initial maps to initial maps or final maps to final maps. The former phenomenon turns out to be fairly common while the latter is rare.
Frédéric Mynard
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Multiple Fano resonance excitation of all-dielectric nanoholes cuboid arrays in near infrared region
Results in Physics, 2021 High Q factor multiple Fano resonance excitation in all-dielectric metasurfaces has become an effective mode to design high performance optical devices.
Shilin Yu +5 more
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IEEE Photonics Journal, 2023 Combining with the bound states in the continuum (BICs) theory in all-dielectric metasurfaces has become an extensively used method to excite multiple high quality(Q) factor Fano resonances, which remarkably enhance the performance of structures to be ...
Yan Shi +4 more
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T0 convergence-approach spaces
Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020 Summary: In previous papers, several \(T_0\)-objects in set-based topological category have been introduced and compared. In this paper, we give the characterization of general \(\overline{T_0}\) (resp. \(T_0\), and \(T_0^\prime\)) convergence approach spaces as well as show how these notions are linked to each other.
Baran, Mehmet, Qasim, Muhammad
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Statistical and Ideal Convergences in Topology
Mathematics, 2023 The notion of convergence wins its own important part in the branch of Topology. Convergences in metric spaces, topological spaces, fuzzy topological spaces, fuzzy metric spaces, partially ordered sets (in short, posets), and fuzzy ordered sets (in short,
D. Georgiou, G. Prinos, F. Sereti
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Mathematics, 2023 The increasing significance of theorem proving-based formalization in mathematics and computer science highlights the necessity for formalizing foundational mathematical theories. In this work, we employ the Coq interactive theorem prover to methodically
Dakai Guo, Wensheng Yu
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Riesz I–convergent sequence spaces
Proyecciones (Antofagasta), 2023 In this article we have introduced some new sequence spaces as a domain of triangular Riesz matrix, and study some of their algebraic and topological properties. Further, our work will devote to argue some inclosions regarding those fore-said sequence spaces.
Khan, Vakeel A., Rahman, Zahid
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Space Weather, 2023 An intelligent Spread‐F image detection and classification method is presented in this paper based on an ionogram image set using deep learning models.
Zheng Wang +7 more
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Convergence S-compactifications
Applied General Topology, 2014 Properties of continuous actions on convergence spaces are investigated. The primary focus is the characterization as to when a continuous action on a convergence space can be continuously extended to an action on a compactification of the convergence ...
Bernd Losert, Gary Richardson
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