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Topologically Semiperfect Topological Rings
Algebras and Representation Theory, 2023 AbstractWe define topologically semiperfect (complete, separated, right linear) topological rings and characterize them by equivalent conditions. We show that the endomorphism ring of a module, endowed with the finite topology, is topologically semiperfect if and only if the module is decomposable as an (infinite) direct sum of modules with local ...
Leonid Positselski, Jan Šťovíček
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Supervised topological data analysis for MALDI mass spectrometry imaging applications
BMC Bioinformatics, 2023 Background Matrix-assisted laser desorption/ionization mass spectrometry imaging (MALDI MSI) displays significant potential for applications in cancer research, especially in tumor typing and subtyping.
Gideon Klaila +2 more
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A topological signature in cosmic topology [PDF]
Classical and Quantum Gravity, 2001 27 pages, 7 figures, LaTeX2e. Inserted: clarifying details, a connection with CCP method, new references. To appear in Class. Quantum Grav.
A.F.F. Teixeira +2 more
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Journal of Physics: Condensed Matter, 2022 AbstractWe present a theory of optimal topological textures in nonlinear sigma-models with degrees of freedom living in the GrassmannianGr(M,N)manifold. These textures describe skyrmion lattices ofN-component fermions in a quantising magnetic field, relevant to the physics of graphene, bilayer and other multicomponent quantum Hall systems near integer ...
Douçot, B. +2 more
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Topological exploration of artificial neuronal network dynamics [PDF]
Network Neuroscience, 2019 One of the paramount challenges in neuroscience is to understand the dynamics of individual neurons and how they give rise to network dynamics when interconnected.
Jean-Baptiste Bardin +2 more
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Reviews of Modern Physics, 2014 Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light. Drawing inspiration from the discovery of the quantum Hall effects and topological insulators in condensed matter, recent advances have shown how to engineer analogous effects also for ...
Ozawa, Tomoki +10 more
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Pharmaceuticals, 2022 Even if amyotrophic lateral sclerosis is still considered an orphan disease to date, its prevalence among the population is growing fast. Despite the efforts made by researchers and pharmaceutical companies, the cryptic information related to the ...
Maria Galvez-Llompart +3 more
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Topology and topological sequence entropy [PDF]
Science China Mathematics, 2019 Let $X$ be a compact metric space and $T:X\longrightarrow X$ be continuous. Let $h^*(T)$ be the supremum of topological sequence entropies of $T$ over all subsequences of $\mathbb Z_+$ and $S(X)$ be the set of the values $h^*(T)$ for all continuous maps $T$ on $X$.
Snoha, L., Ye, X., Zhang, R.
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Biomedicines, 2022 During an emergency, such as a pandemic in which time and resources are extremely scarce, it is important to find effective and rapid solutions when searching for possible treatments. One possibility in this regard is the repurposing of available “on the
Maria Galvez-Llompart +4 more
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Generalized Hausdorff Operators on K̇α,qβ,pℝ and HK̇α,qβ,p,Nℝ in the Dunkl Settings
Journal of Function Spaces, 2021 In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators Hα,φ on the Dunkl-type homogeneous weighted Herz spaces K̇α,qβ,pℝ and Dunkl Herz-type ...
Faouaz Saadi, Othman Tyr, Radouan Daher
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