Relations approximated by continuous functions

DOI10.1090/S0002-9939-05-07793-2zbMath1068.54021OpenAlexW1970711117MaRDI QIDQ4663473

Robert A.McCoy, L'ubica Holá

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07793-2

zbMATH Keywords

Vietoris topologyset-valued mappingusco maplocally finite topologycusco mapusc multifunction

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Function spaces in general topology (54C35) Weak and generalized continuity (54C08) Approximation by other special function classes (41A30)

Related Items (5)

Approximations of relations by continuous functions ⋮ Factorization and extension of isomorphisms on \(C(X)\) to homeomorphisms on hyperspaces ⋮ Topological properties of the space of convex minimal usco maps ⋮ Topological properties of the multifunction space L(X) of cusco maps ⋮ Approximation by continuous functions in the Fell topology

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Characterizations of certain classes of semicontinuous multifunctions by continuous approximations
• On continuous approximations for multifunctions
• On a theorem of Cellina for set valued functions
• Hausdorff metric on the space of upper semicontinuous multifunctions
• Topological properties of spaces of continuous functions
• A note on closed maps and compact sets
• The Locally Finite Topology on 2 X
• On Functions that Approximate Relations
• Fine Uniformity and the Locally Finite Hyperspace Topology
• Theorems of Namioka and R. E. Johnson Type for Upper Semicontinuous and Compact Valued Set-Valued Mappings
• Densely continuous forms in Vietoris hyperspaces

This page was built for publication: Relations approximated by continuous functions