This is an announcement for the paper "Continuous selections of multivalued mappings" by Dusan Repovs and Pavel V. Semenov.
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. Note 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.
Archive classification: math.GN math.FA math.GT math.OC
Mathematics Subject Classification: 54C60, 54C65, 28B20, 26E25, 49J53, 58C06
Citation: Recent Progress in General Topology III, (K. P. Hart, Jan van
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1401.2257
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alspach＠math.okstate.edu