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R-topological spaces and SR-topological spaces with their applications

Mathematical Sciences, 2020
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Siamak Khalehoghli   +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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