极小usco映射的收敛空间
The convergence space of minimal usco mappings
摘要：
在极小usco映射集上定义了一个收敛结构，它推广了Hausdorff连续区间函数集上的序收敛结构.研究了所得收敛空间的性质，揭示了其与点态收敛和阶收敛的本质联系。该收敛结构可以推广为一致收敛性结构，从而使收敛空间是完备的。所有连续函数的子集的稠密性的重要问题也得到了解决。
英文摘要：
A convergence structure generalizing the order convergence structure on the set of Hausdorff continuous interval functions is defined on the set of minimal usco maps. The properties of the obtained convergence space are investigated and essential links with the pointwise convergence and the order convergence are revealed. The convergence structure can be extended to a uniform convergence structure so that the convergence space is complete. The important issue of the denseness of the subset of all continuous functions is also addressed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
