Results 271 to 280 of about 97,480 (311)

Topological Space-Time Crystal

Physical Review Letters, 2022
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, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siamak Khalehoghli, Hamidreza Rahimi, Majid Eshaghi Gordji   +2 more
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Triangulating topological spaces

Proceedings of the tenth annual symposium on Computational geometry - SCG '94, 1994
Given 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, 2011
In 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

1997
We 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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Topological spaces of the web

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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Metrization of Topological Spaces

Canadian Journal of Mathematics, 1951
A 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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LOCALIZATION OF TOPOLOGICAL SPACES

Russian Mathematical Surveys, 1977
CONTENTSIntroduction § 1. The general concept of localization § 2. Localization of Abelian groups § 3. Localization of Abelian spaces. The main theorem § 4. The existence theorem. Special cases § 5. Fibrations § 6. Π-decompositions § 7. Proof of the main theorem and the existence theorem § 8. Localization of simply-connected spaces § 9.
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On Metrizability of Topological Spaces

Canadian Journal of Mathematics, 1968
Our present work is divided into three sections. In §2 we study the metrizability of spaces with a Gδ-diagonal (see Definition 2.1). In §3 we study the metrization of topological spaces by means of collections of (not necessarily continuous) real-valued functions on a topological space.
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Topological Shift Spaces

advg, 2005
Abstract Two of the problems listed in [14, 74.17] ask to prove or disprove the following statements: A) For each differentiable planar map ƒ : IR2 → IR2 the set of all differentials defines a ...
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