Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings by Azza Alghamdi, Maciej Klimek, Marta Kosek

“…We investigate the metric space of pluriregular sets as well as the contractions on that space induced by infinite compact families of proper polynomial mappings of several complex variables. The topological semigroups generated by such families, with composition as the semigroup operation, lead to the constructions of a variety of Julia-type pluriregular sets. …”
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Equivalent Cauchy Sequences in q1,q2-Quasi Metric-Like Space and Applications to Fixed-Point Theory by Eriola Sila, Sidite Duraj, Elida Hoxha

“…This paper introduces the concept of q1,q2-quasi metric-like space X,p and delves into some topological properties of it. A necessary and sufficient condition related to equivalent Cauchy sequences and Cauchy sequences in X,p have been proved. …”
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On G-finitistic spaces and related notions by Satya Deo, Janak Singh Andotra

“…Let X be a G-space where G is a topological group. We show that X is G-finitistic iff the orbit space X/G is finitistic. …”
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Some Qualitative Analyses of Neutral Functional Delay Differential Equation with Generalized Caputo Operator by Abdellatif Boutiara, Mohammed M. Matar, Mohammed K. A. Kaabar, Francisco Martínez, Sina Etemad, Shahram Rezapour

“…Also, we prove other existence criteria by means of the topological degree method. Finally, Ulam-Hyers type stability and its generalized version are studied. …”
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Geometric Assortative Growth Model for Small-World Networks by Yilun Shang

“…We obtain analytical solutions of relevant topological properties such as order, size, degree distribution, degree correlation, clustering, transitivity, and diameter. …”
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Structure Theorem for Functionals in the Space 𝔖′𝜔1,𝜔2 by Hamed M. Obiedat, Wasfi A. Shatanawi, Mohd M. Yasein

“…Moreover, we give a topological characterization of the space 𝔖𝜔1,𝜔2 without conditions on the derivatives. …”
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Cocompact Open Sets and Continuity by Samer Al Ghour, Salti Samarah

“…Compact subsets of a topological space are used to define coc-open sets as new generalized open sets, and then coc-open sets are used to define (coc)∗-open sets as another type of generalized open sets. …”
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Covariant Canonical Method for Yang-Mills Theory Expressed as a Constrained BF-Like Theory by Alberto Escalante, Irving García

“…We study a BF-like action, that in spite of being the coupling of two topological terms, yield, on shell to Yang-Mills action. …”
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Generalized Difference Lacunary Weak Convergence of Sequences by Bibhajyoti Tamuli, Binod Tripathy

“…We investigated several of its algebraic and topological properties, such as solidness, symmetry and monotone. …”
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On the Nonlinearity of Extended s-Type Weighted Nakano Sequence Spaces of Fuzzy Functions with Some Applications by Awad A. Bakery, Elsayed A. E. Mohamed

“…We have constructed the ideal generated by extended s-fuzzy functions and the sequence spaces of fuzzy functions. We present some topological and geometric structures of this class of ideal and multiplication mappings acting on this sequence space of fuzzy functions. …”
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A Novel Generalization of Strong Probabilistic $b$-Metric Spaces and Fixed Point Theorems by Youssef Achtoun, Abderrahim Mbarki, Ismail Tahiri, Mohammed Lamarti Sefian

“…We also demonstrate some of its fundamental topological properties and provide examples. In this context, a new result of fixed point property was proved for the probabilistic $\omega$-contraction mapping on these kinds of spaces. …”
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Integrated Approach for Biomarker Discovery and Mechanistic Insights into the Co-Pathogenesis of Type 2 Diabetes Mellitus and Non-Hodgkin Lymphoma by Zhu Y, Liu J, Wang B

“…Functional analyses were performed to explore underlying mechanisms. Topological analysis and machine learning algorithms were applied to refine hub gene selection. …”
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Abnormal alterations in structure-function coupling at the modular level in patients with postherpetic neuralgia by Zihan Li, Jian Jiang, Xiaofeng Jiang, Yangyang Xie, Jing Lu, Lili Gu, Shunda Hong

“…Large-scale impaired topological properties of the FC and SC networks were observed in patients with PHN, and SC–FC decoupling was detected in these modules of the DMN, SN, and VIS. …”
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Speed of the Goldstone Sound Mode of an Atomic Fermi Gas Loaded on a Square Optical Lattice with a Non-Abelian Gauge Field in the Presence of a Zeeman Field by Zlatko Koinov, Israel Chávez Villalpando

“…It is found that (i) there is no sharp change of the slope of the Goldstone sound mode across the topological quantum phase transition point and (ii) the Gaussian approximation significantly overestimates the speed of sound of the Goldstone mode compared to the value provided by the BS formalism.…”
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Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations by Josef Diblík, Josef Rebenda, Zdeněk Šmarda

“…The method of functions defined implicitly and the topological method (Ważewski's method) are used in the proofs. …”
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MESH NETWORK SIMULATION by Pei Ping, Yury N. Petrenko

“…Mesh networks has a special topologic structure. The paper investigates a message transfer in wireless mesh network simulation and how does it works in cellular network simulation. …”
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Phase Transitions of GUP-Corrected Charged AdS Black Hole by Meng-Sen Ma, Yan-Song Liu

“…We study the thermodynamic properties and critical behaviors of the topological charged black hole in AdS space under the consideration of the generalized uncertainty principle (GUP). …”
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Neighborhood spaces by D. C. Kent, Won Keun Min

“…Neighborhood spaces, pretopological spaces, and closure spaces are topological space generalizations which can be characterized by means of their associated interior (or closure) operators. …”
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A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space by Awad A. Bakery, M. H. El Dewaik

“…By Hwpn, we represent the space of all formal power series ∑n=0∞anzn equipped with ∑n=0∞λan/n+1pn<∞, for some λ>0. Various topological and geometric behavior of Hwpn and the prequasi ideal constructs by s-numbers and Hwpn have been considered. …”
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BPS States, Crystals, and Matrices by Piotr Sułkowski

“…Appropriate limit of these constructions provides, among the others, matrix model representation of refined and unrefined topological string amplitudes.…”
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