Results 11 to 20 of about 1,857,063 (382)
IEEE Transactions on Visualization and Computer Graphics, 2018 This system paper presents the Topology ToolKit (TTK), a software platform designed for topological data analysis in scientific visualization. TTK provides a unified, generic, efficient, and robust implementation of key algorithms for the topological ...
Favelier, Guillaume +4 more
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When is the {I}sbell topology a group topology? [PDF]
Topology and its Applications, 2010 Conditions on a topological space $X$ under which the space $C(X,\mathbb{R})$ of continuous real-valued maps with the Isbell topology $\kappa $ is a topological group (topological vector space) are investigated.
Dolecki, S., Mynard, F.
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Topologically semisimple and topologically perfect topological rings
Publicacions Matemàtiques, 2022 LaTeX 2e with tikz-cd, 69 pages; v.3: new Section 13 inserted, final Section 14 (former 13) rewritten with much more complete picture obtained using new results of arXiv:1911.11720, Lemma 7.2 deleted as no longer relevant, Examples 3.7(2) and 9.4 inserted; v.4: Remarks 3.11 and 7.2 inserted; v.5: misprints corrected, references updated, a reference to ...
Leonid Positselski, Jan Šťovíček
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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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Intrinsic topologies in a topological lattice [PDF]
Pacific Journal of Mathematics, 1969 Tae Ho Choe
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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 T +10 more
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Topological Insulators by Topology Optimization [PDF]
Physical Review Letters, 2019 An acoustic topological insulator (TI) is synthesized using topology optimization, a free material inverse design method. The TI appears spontaneously from the optimization process without imposing requirements on the existence of pseudo spin-1/2 states at the TI interface edge, or the Chern number of the topological phases. The resulting TI is passive;
Christiansen, Rasmus E. +2 more
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Semi‐supervised classification of fundus images combined with CNN and GCN
Journal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022 Abstract Purpose Diabetic retinopathy (DR) is one of the most serious complications of diabetes, which is a kind of fundus lesion with specific changes. Early diagnosis of DR can effectively reduce the visual damage caused by DR. Due to the variety and different morphology of DR lesions, automatic classification of fundus images in mass screening can ...
Sixu Duan +8 more
wiley +1 more source
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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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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