caa a22 4500 463206037 CHVBK 20180405153126.0 cr unu---uuuuu 170326e20070901xx s 000 0 eng 10.1007/s11228-007-0041-0 doi (NATIONALLICENCE)springer-10.1007/s11228-007-0041-0 Gutev Valentin School of Mathematical Sciences, Faculty of Science, University of KwaZulu-Natal, King George V Avenue, 4041, Durban, South Africa aut Completeness, Sections and Selections [Elektronische Daten] [Valentin Gutev] In this paper, we develop a general approach to set-valued semi-continuous selections which is based on order-like arguments rather than on classical approximations. The approach works nice in a number of situations demonstrating the genesis of such selection properties of set-valued mappings. In particular, it allows to generalize several known results, also to get some new results about sections of set-valued mappings. Springer Science + Business Media B.V., 2007 set-valued mapping nationallicence lower semi-continuous nationallicence upper semi-continuous nationallicence multi-selection nationallicence section nationallicence tree nationallicence branch nationallicence Set-Valued Analysis Springer Netherlands 15/3(2007-09-01), 275-295 0927-6947 15:3<275 2007 15 11228 https://doi.org/10.1007/s11228-007-0041-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11228-007-0041-0 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Gutev Valentin School of Mathematical Sciences, Faculty of Science, University of KwaZulu-Natal, King George V Avenue, 4041, Durban, South Africa aut NATIONALLICENCE 773 0- Set-Valued Analysis Springer Netherlands 15/3(2007-09-01), 275-295 0927-6947 15:3<275 2007 15 11228 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer