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SGL-Mamba: Structure-Aware Global-Local Mamba for Crack Segmentation. [PDF]
Gao M +6 more
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Topological Space-Time Crystal [PDF]
We introduce a new class of out-of-equilibrium noninteracting topological phases, the topological space-time crystals. These are time-dependent quantum systems which do not have discrete spatial translation symmetries, but instead are invariant under ...
Yang Peng
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R-topological spaces and SR-topological spaces with their applications
Mathematical Sciences, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siamak Khalehoghli +2 more
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Triangulating topological spaces
Proceedings of the tenth annual symposium on Computational geometry - SCG '94, 1994Given a subspace [Formula: see text] and a finite set S⊆ℝd, we introduce the Delaunay complex, [Formula: see text], restricted by [Formula: see text]. Its simplices are spanned by subsets T⊆S for which the common intersection of Voronoi cells meets [Formula: see text] in a non-empty set. By the nerve theorem, [Formula: see text] and [Formula: see text]
Herbert Edelsbrunner, Nimish R. Shah
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L-topological spaces as spaces of points
Fuzzy Sets and Systems, 2011In this paper, after defining the \(L\)-topological space \((X,\tau)\) in which \(L\) is a complete lattice the authors relate this concept to the corresponding classical notion of topological space by means of a fixed attachment in \(L\).
GUIDO, Cosimo, V. Scarciglia
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Topology and Topological Spaces
1997We have now seen four different proofs of the Fundamental Theorem of Algebra. The first two were purely analysis, while the second pair involved a wide collection of algebraic ideas. However, we should realize that even in these algebraic proofs we did not totally leave analysis.
Benjamin Fine, Gerhard Rosenberger
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Ultracomplete Topological Spaces
Acta Mathematica Hungarica, 2001If \(X\) is a set and \(\Sigma\) is a set of coverings of \(X\), then we can consider \((X,\Sigma)\) to be a generalized uniform space. This point of view originates from the work of \textit{J. W. Tukey} [Convergence and uniformity in topology, Princeton (1940)] who used \((X,\Sigma)\), where \(\Sigma\) fulfills some appropriate conditions, as another ...
Buhagiar, D., Yoshioka, I.
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Special interest tracks and posters of the 14th international conference on World Wide Web - WWW '05, 2005
We study the representation of space over the Web. Web’sspatiality is described by (hyper)links, and thus the webspace is given by a set of pages and links between them. Thecomplexity of this structure derives not only from the quan-tity, but also from the extreme dynamics that it presents.This structure is greatly influenced by its dynamics ...
Gabriel Ciobanu, Danut Rusu
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We study the representation of space over the Web. Web’sspatiality is described by (hyper)links, and thus the webspace is given by a set of pages and links between them. Thecomplexity of this structure derives not only from the quan-tity, but also from the extreme dynamics that it presents.This structure is greatly influenced by its dynamics ...
Gabriel Ciobanu, Danut Rusu
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On Chains of Topological Spaces
The Annals of Mathematics, 1938complex. By a chain-complex L of T we shall mean a subcomplex of R. Meshes, chain-deformations, e or otherwise, said to be on 9?, are then defined in the natural way. The complex L is thus a chain-complex in the sense of No. 2, except that the (1)-chains and Kronecker-indices may now be elements of (M and not merely integers.
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Metrization of Topological Spaces
Canadian Journal of Mathematics, 1951A single valued function D(x, y) is a metric for a topological space provided that for points x, y, z of the space: 1. the equality holding if and only if x = y, 2. (symmetry), 3. (triangle inequality), 4.
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