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Topological Sensitivity on Hyperspaces
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumar, Devender +2 more
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On Paranormality in Hyperspaces
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Covering Hyperspace with Hypercurves
Mathematical Logic Quarterly, 1991In 1962, Davies showed that for each sequence \(\langle L_ i\rangle_{i\in\omega}\) of pairwise distinct lines in the plane each of which goes through the origin, there is a covering \(\langle E_ i\rangle_{i\in\omega}\) of the plane s.t. \(\forall i\in\omega\), every line parallel to \(L_ i\) intersects \(E_ i\) in exactly one point.
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Infima of hyperspace topologies
Mathematika, 1995We study infima of families of topologies on the hyperspace of a metrizable space. We prove that Kuratowski convergence is the infimum, in the lattice of convergences, of all Wijsman topologies and that the cocompact topology on a metric space which is complete for a metric \(d\) is the infimum of the upper Wijsman topologies arising from metrics that ...
COSTANTINI, Camillo, S. LEVI, J. PELANT
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2001
Abstract Dr. Googol enjoys simple-looking geometrical puzzles that require you to estimate the number of overlapping triangles within a diagram such as the one in Figure 61.1a. Can you guess how many triangles are in this figure? Stop. Take a guess before reading further. This figure contains a walloping 87 triangles.
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Abstract Dr. Googol enjoys simple-looking geometrical puzzles that require you to estimate the number of overlapping triangles within a diagram such as the one in Figure 61.1a. Can you guess how many triangles are in this figure? Stop. Take a guess before reading further. This figure contains a walloping 87 triangles.
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Arcs, Semigroups, and Hyperspaces
Canadian Journal of Mathematics, 1968Several years ago Kelley (2) showed that if X is a metric continuum then S(X), the space of non-null, closed subsets of X, and C(X), the space of non-null, closed, connected subsets of X, with the Vietoris topology, are arcwise connected continua. He further showed that S(X) is acyclic. In this note we extend these results to non-metric continua.
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