Omega-Polish spaces and measurable selections

Le Van Tu
1977 Journal of the Australian Mathematical Society  
In this paper, the author introduces the notion of fl-Polish spaces (which includes the Polish spaces and a large class of Banach spaces) and extends Castaing's selection theorem (1966) for closed-valued measurable thin multifunctions from a measurable space into an fl-Polish space. He also extends Robertson's theorem (1974) in the same way. 257
doi:10.1017/s1446788700018887 fatcat:k6anb5jtqbbudhxgqnd62nh24i