On θ-regular spaces by Martin M. Kovár

“…In this paper we study θ-regularity and its relations to other topological properties. We show that the concepts of θ-regularity (Janković, 1985) and point paracompactness (Boyte, 1973) coincide. …”
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Computing FGZ Index of Sum Graphs under Strong Product by Zhi-Ba Peng, Saira Javed, Muhammad Javaid, Jia-Bao Liu

“…Topological index (TI) is a function that assigns a numeric value to a (molecular) graph that predicts its various physical and structural properties. …”
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Kannan Contraction Maps on the Space of Null Variable Exponent Second-Order Quantum Backward Difference Sequences of Fuzzy Functions and Its Pre-Quasi Ideal by Awad A. Bakery, OM Kalthum S. K. Mohamed

“…The idealization of the mappings has been achieved through the use of extended s− fuzzy functions and this sequence space of fuzzy functions. This new space’s topological and geometric properties and the mappings’ ideal that corresponds to them are discussed. …”
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On Face Index of Silicon Carbides by Xiujun Zhang, Ali Raza, Asfand Fahad, Muhammad Kamran Jamil, Muhammad Anwar Chaudhry, Zahid Iqbal

“…One vastly studied class of the graph invariants is the class of the topological indices, which helps in the studies of chemical, biological, and physical properties of a chemical structure. …”
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ZnO1−xSx Nanosphere in Ferroelectric Liquid Crystal Matrix: The Effect of Aggregation and Defects on the Dielectric and Electro-Optical Properties by Dharmendra Pratap Singh, Swadesh Kumar Gupta, Rajiv Manohar

“…The high concentration of NS causes an aggregation in the FLC matrix and creates topological defects. The defects and aggregation cause the change in electro-optical and dielectric properties of the pure FLC material. …”
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Modeling and simulation analysis of interleaved double dual boost converters in energy storage field by Baining Guo, Junqi Liu, Mingye Sun, Shuo Zhai, Zhiheng Zhao, Bin Hai

“…To this end, this paper systematically analyzes features regarding interleaved double dual boost converters to provide the basis of the controller design. First, the topological structure and working principle are introduced, which is an indispensable pretreatment for the steady‐state feature analysis. …”
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New Optimality Conditions for a Nondifferentiable Fractional Semipreinvex Programming Problem by Yi-Chou Chen, Wei-Shih Du

“…We study a nondifferentiable fractional programming problem as follows: (P)minx∈Kf(x)/g(x) subject to x∈K⊆X,  hi(x)≤0,  i=1,2,…,m, where K is a semiconnected subset in a locally convex topological vector space X, f:K→ℝ, g:K→ℝ+ and hi:K→ℝ, i=1,2,…, m. …”
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3D bulk field theories for 2D non-unitary N $$ \mathcal{N} $$ = 1 supersymmetric minimal models by Seungjoo Baek, Dongmin Gang

“…The correspondence relates a 3D N $$ \mathcal{N} $$ = 4 rank-0 superconformal field theory to 2D chiral rational conformal field theories. A topologically twisted theory of the rank-0 SCFT supports the rational chiral algebra at the boundary upon a proper choice of boundary condition. …”
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Recent Developments in Instantons in Noncommutative ℝ𝟒 by Akifumi Sako

“…In the operator formalism, we study how to make noncommutative instantons by using the ADHM method, and we review the relation between topological charges and noncommutativity. In the ADHM methods, there exist instantons whose commutative limits are singular. …”
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Comparison of Photonic to Plasmonic Mode Converters for Plasmonic Multiple-Input Devices by Samantha Lubaba Noor, Francky Catthoor, Dennis Lin, Pol Van Dorpe, Azad Naeemi

“…In this work, we simulate and benchmark five photonic to plasmonic mode converter topologies for the application of multiple-input plasmonic devices. …”
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Medium Affect Desire: Hybridising Real Virtual and the Actualised through Affective Medium Ecology by Marc Boumeester

“…This new materialistic, non-anthropocentric liberty of affect is creating an arena of strange attractors and other topological vector fields in which our own unconscious drive is as effective as that of the steel ball in a pinball machine. …”
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Sum-Connectivity Coindex of Graphs under Operations by Muhammad Ibraheem, Ebenezer Bonyah, Muhammad Javaid

“…Topological indices or coindices are mathematical parameters which are widely used to investigate different properties of graphs. …”
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Coda: The Open by Michael Palmer

“…Exploring little known areas in American poetry, namely the 1973 anthology of Open Poetry put out by Ronald Gross and George Quasha, but also Charles Olson’s projective verse project, the full scope of Duncan’s Opening of the Field comes into view as an attempt at a new condition of poetry, as a kind of topological reality, where compositional decisions proceed seemingly from ad hoc pressures as if it too were a form of listening to the text. …”
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On r-Generalized Fuzzy ℓ-Closed Sets: Properties and Applications by I. M. Taha

“…In the present study, we introduce and characterize the class of r-generalized fuzzy ℓ-closed sets in a fuzzy ideal topological space X,τ,ℓ in Šostak sense. Also, we show that r-generalized fuzzy closed set by Kim and Park (2002) ⟹r-generalized fuzzy ℓ-closed set, but the converse need not be true. …”
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Measuring Chern–Simons level k by braiding $$SU(2)_k$$ S U ( 2 ) k anyons by Artem Belov, Andrey Morozov

“…It is implied that anyons additionally possess certain properties which are required for topological quantum computations.…”
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Function Spaces with Bounded Lp Means and Their Continuous Functionals by Massimo A. Picardello

“…Part of this paper is a review of the topological vector space structure, inclusion relations, and convolution operators. …”
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Du cyberespace à la datasphère. Le nouveau front pionnier de la géographie by Frédérick Douzet, Alix Desforges

“…Even though the notion of datasphere is just emerging, it brings together strategic issues related to the cyberspace, the management of data and the geography of data flows, an understanding of the informational space, the cartography of topological networks, and the fusion of geolocated and non-spatialized data. …”
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A Multihoming Clustering Algorithm for Vehicular Ad Hoc Networks by Samo Vodopivec, Janez Bešter, Andrej Kos

“…Clusters are created with redundant connections between nodes to increase the communication reliability in case of topological changes and the cluster creation process is also inverted compared to other algorithms. …”
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