On Soft β-Open Sets and Soft β-Continuous Functions by Metin Akdag, Alkan Ozkan

“…We introduce the concepts soft β-interior and soft β-closure of a soft set in soft topological spaces. We also study soft β-continuous functions and discuss their relations with soft continuous and other weaker forms of soft continuous functions.…”
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Some ℓ(p)-Type New Sequence Spaces and Their Geometric Properties by Ekrem Savaş, Vatan Karakaya, Necip Şimşek

“…We introduce an ℓ(p)-type new sequence space and investigate its some topological properties including AK and AD properties. …”
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An Application of Sombor Index over a Special Class of Semigroup Graph by Seda Oğuz Ünal

“…Recently, Gutman introduced a class of novel topological invariants named Sombor index which is defined asSOG=∑uv∈EGdu2+dv2. …”
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A New Difference Sequence Set of Order α and Its Geometrical Properties by Mikail Et, Vatan Karakaya

“…We introduce a new class of sequences named as mαΔr,ϕ,p and, for this space, we study some inclusion relations, topological properties, and geometrical properties such as order continuous, the Fatou property, and the Banach-Saks property of type p.…”
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R-continuous functions by Ch. Konstadilaki-Savvapoulou, D. Janković

“…A strong form of continuity of functions between topological spaces is introduced and studied. It is shown that in many known results, especially closed graph theorems, functions under consideration are R-continuous. …”
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Continuous homomorphisms of Arens-Michael algebras by Alex Chigogidze

“…Based on this, we prove that a complemented subalgebra of an uncountable product of Fréchet algebras is topologically isomorphic to the product of Fréchet algebras.…”
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Generalized Difference λ-Sequence Spaces Defined by Ideal Convergence and the Musielak-Orlicz Function by Awad A. Bakery

“…We also studied some topological properties and inclusion relations between these spaces.…”
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Some Generalized Difference Sequence Spaces Defined by Ideal Convergence and Musielak-Orlicz Function by Awad A. Bakery, Elsayed Abdelbayen Elnour Mohamed, Mohamed Alamin Ahmed

“…We also study some topological properties and inclusion relation between these spaces.…”
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Simple and subdirectly irreducibles bounded distributive lattices with unary operators by Sergio Arturo Celani

“…We characterize the simple and subdirectly irreducible distributive algebras in some varieties of distributive lattices with unary operators, including topological and monadic positive modal algebras. Finally, for some varieties of Heyting algebras with operators we apply these results to determine the simple and subdirectly irreducible algebras.…”
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The Hierarchical Minimax Inequalities for Set-Valued Mappings by Yen-Cherng Lin, Chin-Tzong Pang

“…We study the minimax inequalities for set-valued mappings with hierarchical process and propose two versions of minimax inequalities in topological vector spaces settings. As applications, we discuss the existent results of solutions for set equilibrium problems. …”
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On p-closed spaces by Julian Dontchev, Maximilian Ganster, Takashi Noiri

“…We will provide new characterizations of p-closed spaces and investigate their relationships with some other classes of topological spaces.…”
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Some Properties of (𝑟,𝑠)-𝑇0 and (𝑟,𝑠)-𝑇1 Spaces by S. E. Abbas, Biljana Krsteska

“…We define (𝑟,𝑠)-quasi-𝑇0, (𝑟,𝑠)-sub-𝑇0, (𝑟,𝑠)-𝑇0 and (𝑟,𝑠)-𝑇1 spaces in an intuitionistic fuzzy topological space and investigate some properties of these spaces and the relationships between them. …”
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Graphs Generated by Measures by A. Assari, M. Rahimi

“…In this paper, a graph is assigned to any probability measure on the σ-algebra of Borel sets of a topological space. Using this construction, it is proved that given any number n (finite or infinite) there exists a nonregular graph such that its clique, chromatic, and dominating number equals n.…”
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Tight Focusing of Partially Coherent Vortex Beams by Rakesh Kumar Singh

“…Compact form of the coherence matrix has been derived for polarized vortex beams. Effects of topological charge and polarization distribution of the incident beam on intensity distribution, degree of polarization, and coherence have been investigated.…”
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Differentials of the 2nd kind on a product surface by J. C. Wilson

“…This paper deals with the problems of representing an arbitrary double differential of the second kind, defined on a surface which is the topological product of two curves, in terms of the products of simple differentials of the second kind on the two curves. …”
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A Volume Comparison Estimate with Radially Symmetric Ricci Curvature Lower Bound and Its Applications by Zisheng Hu, Yadong Jin, Senlin Xu

“…We extend the classical Bishop-Gromov volume comparison from constant Ricci curvature lower bound to radially symmetric Ricci curvature lower bound, and apply it to investigate the volume growth, total Betti number, and finite topological type of manifolds with nonasymptotically almost nonnegative Ricci curvature.…”
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Map Ideal of Type the Domain of r-Cesàro Matrix in the Variable Exponent ℓt. and Its Eigenvalue Distributions by Awad A. Bakery, OM Kalthum S. K. Mohamed

“…Some geometric and topological properties of this sequence space, the multiplication maps defined on it, and the eigenvalue distributions of map ideal with s-numbers that belong to this sequence space have been examined.…”
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Nonsmooth analysis and optimization on partially ordered vector spaces by Thomas W. Reiland

“…Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. …”
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A NEW GENERALIZATION OF GEORGE & VEERAMANI-TYPE FUZZY METRIC SPACE by A. Das, D. Barman, T. Bag

“…Concepts of convergent sequence, Cauchy sequence, completeness etc. are given, and we study some properties in such spaces. Finally, some topological results are established.…”
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Impacts of COVID-19 on the Return and Volatility Nexus among Cryptocurrency Market by Xin Sui, Guifen Shi, Guanchong Hou, Shaohan Huang, Yanshuang Li

“…Moreover, from network analysis, we further found that the COVID-19 crisis has significantly changed the topological structure of the cryptocurrency market. …”
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