Geodesic
Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 1, pp. 145-155

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In this paper we deal with weakly upper semi-continuous set-valued maps, taking arbitrary non-empty values, from a non-metric domain to a Banach space. We obtain selectors having the point of continuity property relative to the norm topology for a large class of compact spaces as a domain. Exact conditions under which the selector is of the first Borel class are also investigated.
Classification : 46B22, 46B99, 47H04
Keywords: measurable selectors; upper semi-continuous maps; point of continuity property 
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     author = {Hansell, R. W. and Oncina, L.},
     title = {Generalized first class selectors for upper semi-continuous set-valued maps in {Banach} spaces},
     journal = {Czechoslovak Mathematical Journal},
     pages = {145--155},
     publisher = {mathdoc},
     volume = {55},
     number = {1},
     year = {2005},
     mrnumber = {2121662},
     zbl = {1081.46016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a9/}
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Hansell, R. W.; Oncina, L. Generalized first class selectors for upper semi-continuous set-valued maps in Banach spaces. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 1, pp. 145-155. http://geodesic.mathdoc.fr/item/CMJ_2005__55_1_a9/