Totally disconnected compactifications by Parfeny P. Saworotnow

“…There is a one-to-one order preserving correspondence between totally disconnected compactifications of a topological space and certain Boolean algebras of open closed subsets on it.…”
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Symmetry-governed dynamics of magnetic skyrmions under field pulses by Vladyslav M. Kuchkin, Bruno Barton-Singer, Pavel F. Bessarab, Nikolai S. Kiselev

“…Abstract Topological magnetic solitons, such as skyrmions, exhibit intriguing particle-like properties that make them attractive for fundamental research and practical applications. …”
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Flow of electrorheological fluid under conditions of slip on the boundary by R. H. W. Hoppe, M. Y. Kuzmin, W. G. Litvinov, V. G. Zvyagin

“…For this purpose the approximating-topological method is used.…”
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Computation of Differential, Integral Operators and Quantitative Structure–Property Analysis of Boron α-Icosahedral Nanosheet by Khalil Hadi Hakami, Abdul Rauf Khan, Saad Amin Bhatti

“…We formulate reverse degree–based topological descriptors based on this concept. In this paper, we examine the boron α-icosahedral nanosheet for this technique. …”
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Transfers for ramified covering maps in homology and cohomology by Marcelo A. Aguilar, Carlos Prieto

“…The transfer is induced by a suitable map between topological groups. We also define a new cohomology transfer which is dual to the homology transfer. …”
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Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions by Yansheng Liu, Huimin Yu

“…Using Krein-Rutman theorem, topological degree theory, and bifurcation techniques, this paper investigates the existence of positive solutions for a class of boundary value problems of fractional differential inclusions.…”
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Flow of electrorheological fluid under conditions of slip on the boundary

“…For this purpose the approximating-topological method is used.</p>…”
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Reorganization of Anatomical Connectome following Electroconvulsive Therapy in Major Depressive Disorder by Jinkun Zeng, Qinghua Luo, Lian Du, Wei Liao, Yongmei Li, Haixia Liu, Dan Liu, Yixiao Fu, Haitang Qiu, Xirong Li, Tian Qiu, Huaqing Meng

“…We also assessed the relationship between topological reorganization with improvements in depressive symptoms. …”
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Multiband adjustment engineering strategy for broadband range in photonic crystals by Wenjia Yu, Shiyu Liu, Hang Sun, Jicheng Wang, Yuting Yang, Xiaopeng Shen

“…Topological edge states are crucial for optical modulation, and the overlapping Brillouin zones in nested structures can effectively control multiband edge states. …”
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Liquid crystal torons in Poiseuille-like flows by Guilherme N. C. Amaral, Hanqing Zhao, Mahmoud Sedahmed, Tomás Campante, Ivan I. Smalyukh, Mykola Tasinkevych, Margarida M. Telo da Gama, Rodrigo C. V. Coelho

“…Abstract Three-dimensional (3D) simulations of the structure of liquid crystal (LC) torons, topologically protected distortions of the LC director field, under material flows are rare but essential in microfluidic applications. …”
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Dispersion of optical vortices in twisted elliptical-core optical fibers with torsional stresses by B.P. Lapin, E.V. Barshak, D.V. Vikulin, C.N. Alexeyev, M.A. Yavorsky

“…In this paper, the dispersion of optical vortices (OVs) with a topological charge l >= 1 in twisted elliptical fibers (TEF) with torsional stresses (TS) is studied. …”
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Spaces of Ideal Convergent Sequences by M. Mursaleen, Sunil K. Sharma

“…We also examine some topological properties of the resulting sequence spaces.…”
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A description of the Stone space of Banach lattice C(K,E) by Zafer Ercan

“…We give a topological description of the Stone space of C(K,E), Banach lattices of continuous functions from a compact Hausdorff space K into a Banach lattice E.…”
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The Ideal Convergence of Strongly of  Γ2 in p-Metric Spaces Defined by Modulus by N. Subramanian, K. Balasubramanian, K. Chandrasekhara Rao

“…The aim of this paper is to introduce and study a new concept of the Γ2 space via ideal convergence defined by modulus and also some topological properties of the resulting sequence spaces were examined.…”
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An Extension of Modular Sequence Spaces by Hemen Dutta, Iqbal H. Jebril

“…The main aim of this paper is to present an extension of the modular sequence spaces by means of Cesàro mean of order one, to investigate several relevant algebraic and topological properties, and derive some other spaces in the sequel.…”
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Eccentric indices based QSPR evaluation of drugs for schizophrenia treatment by Muneeba Mansha, Sarfraz Ahmad, Zahid Raza

“…Regardless of the significant developments in drug design, the fundamental approach still uses topological descriptors. Topological indices are used to estimate the bioactivity of chemical compounds in QSAR/QSPR studies. …”
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Enhanced Chemical Insights into Fullerene Structures via Modified Polynomials by Ali N. A. Koam, Ali Ahmad, Raed Qahiti, Muhammad Azeem, Waleed Hamali

“…By applying algebraic methods, we computed topological descriptors such as the Randić number and Zagreb indices. …”
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New Difference Sequence Spaces Defined by Musielak-Orlicz Function by M. Mursaleen, Sunil K. Sharma, S. A. Mohiuddine, A. Kılıçman

“…We introduce new sequence spaces by using Musielak-Orlicz function and a generalized B∧ μ-difference operator on n-normed space. Some topological properties and inclusion relations are also examined.…”
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Some Results of τ1τ2-δ Semiconnectedness and Compactness in Bitopological Spaces by M. Arunmaran, K. Kannan

“…In particular, we will discuss the relationship related to semiconnectedness between the topological spaces and bitopological space. That is, if a bitopological space (X,τ1,τ2) is τ1τ2-δ semiconnected, then the topological spaces (X,τ1) and (X,τ2) are δ-semiconnected. …”
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Hyperspherical Manifold for EEG Signals of Epileptic Seizures by Tahir Ahmad, Vinod Ramachandran

“…The subset of seizure signals on the manifold is shown to be a topological space, verifying Ahmad's approach to use topological modelling.…”
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