Bornological convergence and shields

DOI10.1007/s00009-011-0162-4zbMath1275.54003OpenAlexW2072129370MaRDI QIDQ1943599

Sandro Levi, Camillo Costantini, Gerald A. Beer

Publication date: 20 March 2013

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-011-0162-4

zbMATH Keywords

hyperspacebornological convergencebornologyAttouch-Wets convergenceshielded from closed setsstable under small enlargementsupper semicontinuous multifunction.

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Hyperspaces in general topology (54B20) Metric spaces, metrizability (54E35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Bornologies and related structures; Mackey convergence, etc. (46A17)

Related Items (14)

Strong proximal continuity and convergence ⋮ Gap topologies in metric spaces ⋮ SEPARATION OF CONVEX SETS IN EXTENDED NORMED SPACES ⋮ Some properties of bornological convergences ⋮ Cardinal functions, bornologies and strong Whitney convergence ⋮ The finest locally convex topology of an extended locally convex space ⋮ Clopen linear subspaces and connectedness in function spaces ⋮ Complete metrizability of topologies of strong uniform convergence on bornologies ⋮ Strong Whitney and strong uniform convergences on a bornology ⋮ Bornological convergences on the hyperspace of a uniformizable space ⋮ Bornological convergences and local proximity spaces ⋮ Convergence of partial maps ⋮ Bornologies, topological games and function spaces ⋮ Real-valued Lipschitz functions and metric properties of functions

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