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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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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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LOCALIZATION OF TOPOLOGICAL SPACES
Russian Mathematical Surveys, 1977CONTENTSIntroduction § 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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