Selection theorems under an assumption weaker than lower semi-continuity

DOI10.1016/0166-8641(93)90017-8zbMath0809.54015OpenAlexW2050706454MaRDI QIDQ1210361

Valentin G. Gutev

Publication date: 11 August 1993

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90017-8

zbMATH Keywords

lower semi-continuityquasi lower semi-continuous mapping

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Selections in general topology (54C65) Extension of maps (54C20)

Related Items (9)

On continuity properties of the modulus of local contractibility ⋮ Factorising usco mappings ⋮ Extensions by means of expansions and selections ⋮ On paraconvexity in spaces of summable mappings ⋮ Generalized selection theorems without convexity ⋮ Continuous selections for multivalued mappings with closed convex images and applications ⋮ Nonconvexity in problems of multivalued calculus ⋮ Lower semicontinuity concepts, continuous selections, and set valued metric projections ⋮ Selections for quasi-l.s.c. mappings with uniformly equi-\(LC^ n\) range

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Continuous selections. I
• Continuous selections. II
• Set valued mappings, continuous selections, and metric projections
• Continuous selections and finite-dimensional sets
• A theorem on semi-continuous set-valued functions
• Michael Selection Theorem Under Weak Lower Semicontinuity Assumption
• Continuous Selections for Weakly Hausdorff Lower Semicontinuous Multifunctions
• A note on complete closure algebras
• Mapping Theorems for Non-Compact Spaces

This page was built for publication: Selection theorems under an assumption weaker than lower semi-continuity