Image sets of folding surfaces by Ana M. d'Azevedo Breda

“…For an explanation of their topological and combinatorial properties, see the related works of Ana Breda, Altino Santos, M. …”
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Replica wormholes and entanglement islands in the Karch-Randall braneworld by Hao Geng

“…The quantum extremal surface geometrizes into a Ryu-Takayanagi surface in the ambient space. The topological phase transition of the Ryu-Takayanagi surface in time from connecting different portions of the bath to the one connecting the bath and the brane gives the Page curve of the Hawking radiation that is consistent with unitarity. …”
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(SPT-)LSM theorems from projective non-invertible symmetries by Salvatore D. Pace, Ho Tat Lam, and Ömer M. Aksoy

“…We complement our analysis with the SymTFT, where the projectivity causes it to be a topological order non-trivially enriched by translations. …”
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Semicompatibility and fixed point theorems in fuzzy metric space using implicit relation by Bijendra Singh, Shishir Jain

“…Recently, Popa (2002) has employed a similar but not the same implicit relation to obtain a fixed point theorem for d-complete topological spaces. All the results of this paper are new.…”
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Some New Refined General Boas-Type Inequalities by A. Čižmešija, J. Pečarić, D. Pokaz

“…We state and prove a new refined Boas-type inequality in a setting with a topological space and general σ-finite and finite Borel measures. …”
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Cesaŕo Summable Relative Uniform Difference Sequence of Positive Linear Functions by Awad A. Bakery, O. M. Kalthum S. K. Mohamed, Kshetrimayum Renubebeta Devi, Binod Chandra Tripathy

“…We have studied the topological properties of C1Δ,ru. We also obtain the necessary and sufficient condition to characterize the matrix classes C1Δ,ru,ℓ∞ru,C1Δ,ru,cru,P.…”
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Backwards Asymptotically Autonomous Dynamics for 2D MHD Equations by Jiali Yu, Wenhuo Su, Dongmei Xu

“…We consider the backwards topological property of pullback attractors for the nonautonomous MHD equations. …”
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Some Seminormed Difference Sequence Spaces over n-Normed Spaces Defined by a Musielak-Orlicz Function of Order (α,β) by S. A. Mohiuddine, Sunil K. Sharma, Dina A. Abuzaid

“…We also examine some topological properties and prove inclusion relations between the resulting sequence spaces.…”
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On Some Properties of New Paranormed Sequence Space of Nonabsolute Type by Vatan Karakaya, Necip Şimşek

“…Furthermore we investigate some topological properties as the completeness, the isomorphism, and also we give some inclusion relations between this sequence space and some of the other sequence spaces. …”
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Distribution of Maps with Transversal Homoclinic Orbits in a Continuous Map Space by Qiuju Xing, Yuming Shi

“…By the transversal homoclinic theorem, it is shown that the map space contains a dense set of maps that have transversal homoclinic orbits and are chaotic in the sense of both Li-Yorke and Devaney with positive topological entropy.…”
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New Trends in Robotics for Agriculture: Integration and Assessment of a Real Fleet of Robots by Luis Emmi, Mariano Gonzalez-de-Soto, Gonzalo Pajares, Pablo Gonzalez-de-Santos

“…This work also studies diverse topologies for controlling fleets of robots and advances other prospective topologies. …”
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Inscribing closed non-σ-lower porous sets into Suslin non-σ-lower porous sets by Luděk Zajíček, Miroslav Zelený

“…The main aim of this paper is to prove that every non-σ-lower porous Suslin set in a topologically complete metric space contains a closed non-σ-lower porous subset. …”
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On boundary value problems for degenerate differential inclusions in Banach spaces by Valeri Obukhovskii, Pietro Zecca

“…We consider the applications of the theory of condensing set-valued maps, the theory of set-valued linear operators, and the topological degree theory of the existence of mild solutions for a class of degenerate differential inclusions in a reflexive Banach space. …”
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Some Applications of New Complex Function Space Constructed by Different Weights and Exponents by Awad A. Bakery, Elsayed A. E. Mohamed

“…We investigate the geometric and topological characteristics of mapping ideals created using s-numbers and this complex function space. …”
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Multiplicity of positive solutions to semilinear elliptic boundary value problems by Kenichiro Umezu

“…Our approach is based on super- and sub-solutions, and relies on the topological degree theory on the positive cones of ordered Banach spaces. …”
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A Note on Some Uniform Algebra Generated by Smooth Functions in the Plane by Raymond Mortini, Rudolf Rupp

“…We determine, via classroom proofs, the maximal ideal space, the Bass stable rank as well as the topological and dense stable rank of the uniform closure of all complex-valued functions continuously differentiable on neighborhoods of a compact planar set 𝐾 and holomorphic in the interior 𝐾∘ of 𝐾. …”
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Existence of Solutions for Generalized Vector Quasi-Equilibrium Problems by Scalarization Method with Applications by De-ning Qu, Cao-zong Cheng

“…The aim of this paper is to study generalized vector quasi-equilibrium problems (GVQEPs) by scalarization method in locally convex topological vector spaces. A general nonlinear scalarization function for set-valued mappings is introduced, its main properties are established, and some results on the existence of solutions of the GVQEPs are shown by utilizing the introduced scalarization function. …”
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Inclusions of Hardy Orlicz spaces by Roshdi Khalil

“…In this paper, we prove that for ϕ≠ψ, if H(ϕ)=H(ψ) as sets, then H(ϕ)=H(ψ) as topological vector spaces. Some other results are given.…”
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Perturbative Stability and Error-Correction Thresholds of Quantum Codes by Yaodong Li, Nicholas O’Dea, Vedika Khemani

“…Topologically ordered phases are stable to local perturbations, and topological quantum error-correcting codes enjoy thresholds to local errors. …”
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Control techniques of switched reluctance motors in electric vehicle applications: A review on torque ripple reduction strategies by Ameer L. Saleh, Fahad Al-Amyal, László Számel

“…In addition, the research also provided an overview of SRM fundamental operations, converter topologies, and excitation angle approaches. Last, a comparison between each method in torque control and current control strategies was listed, including the adopted method, features, and drawbacks.…”
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