关于拓扑空间中的几个可测选择定理

Several Measurable Selection Theorems on the Topological Spaces

中文摘要:

      本文作者调查了十多个大中城市的20多座工厂化养猪场,对中国工厂化养猪场的饲养工艺、猪舍建筑设计、机械设备等方面的现状作了较系统的分析。在此基础上,根据我国国情及目前存在的问题,探讨了今后发展工厂化养猪场的趋势,并提出了建议。

英文摘要:

      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 .