Several Measurable Selection Theorems on the Topological Spaces
Received:December 13, 1983  
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Chen Shaozhong Chengdu University of Science and Technology 
Gu Fuwen Chengdu University of Science and Technology 
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      The main theorems of this paper establishes the existence of measurable selections for compact valued maps whose range space is a topological space. With the help of the measurable selection theorems, we proved the function v(ω)=sup {φ (ω, x) |x∈F(ω)} is a measurable function and the existence of measurable solution in some stochastic programmings .
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