Continuous Selections of Multivalued Mappings

Dušan Repovš () and Pavel V. Semenov ()
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Dušan Repovš: University of Ljubljana, Faculty of Education and Faculty of Mathematics and Physics
Pavel V. Semenov: Moscow City Pedagogical University, Department of Mathematics

A chapter in Recent Progress in General Topology III, 2014, pp 711-749 from Springer

Abstract: Abstract This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately)from 2002 through 2012. It extends and continues our previous such survey which appeared in Recent Progress in General Topology, II which was published in 2002. In comparison, our present survey considers more restricted and specific areas of mathematics. We remark that we do not consider the theory of selectors (i.e. continuous choices of elements from subsets of topological spaces) since this topics is covered by another survey in this volume.

Keywords: Banach Space; Multivalued Mapping; Metrizable Space; Range Space; Continuous Selection (search for similar items in EconPapers)
Date: 2014
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DOI: 10.2991/978-94-6239-024-9_17

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