On Quasi-Uniformities in Hyperspaces

DOI10.2307/2040957zbMath0345.54026OpenAlexW4250736265MaRDI QIDQ4114501

Gilles Berthiaume

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/2040957

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Proximity structures and generalizations (54E05)

Related Items (27)

Some notes on induced functions and group actions on hyperspaces ⋮ Infinite products of relations, set-valued series and uniform openness of multifunctions ⋮ Convexity structures in \(T_{0}\)-quasi-metric spaces ⋮ Basic tools and mild continuities in relator spaces ⋮ On Uniformly Locally Compact Quasi-Uniform Hyperspaces ⋮ Infima and complements in the lattice of quasi-uniformities ⋮ Hyperspaces of a weightable quasi-metric space: application to models in the theory of computation ⋮ Some properties of bornological convergences ⋮ Generalized contractive set-valued maps on complete preordered quasi-metric spaces ⋮ \(T_0\) *-compactification in the hyperspace ⋮ Some aspects of Isbell-convex quasi-metric spaces ⋮ The Wijsman topology of a fuzzy metric space ⋮ Extensions of \(T_0\)-quasi-metrics ⋮ On continuous convergence of nets of multifunctions ⋮ \(q\)-hyperconvexity in quasipseudometric spaces and fixed point theorems ⋮ The Hausdorff fuzzy quasi-metric ⋮ Bicompleteness of the fine quasi-uniformity ⋮ The bicompletion of the Hausdorff quasi-uniformity ⋮ The fuzzy Hausdorff-Bourbaki structures and their relations with the fuzzy Vietoris structures ⋮ Quasi-uniform hyperspaces of compact subsets ⋮ Well-quasi-ordering and the Hausdorff quasi-uniformity ⋮ Fixed point theorems for fuzzy mappings in quasi-metric spaces ⋮ FIXED POINT THEOREMS FOR MULTIVALUED NON-LINEAR <i>F</i>-CONTRACTIONS ON QUASI METRIC SPACES WITH AN APPLICATION ⋮ The relationship between the Vietoris topology and the Hausdorff quasi-uniformity ⋮ A note on convergence of nets of multifunctions ⋮ Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions ⋮ Compactifications of quasi-uniform hyperspaces.

Cites Work

• Quasi-uniformization of topological spaces
• Topologies on Spaces of Subsets
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