选择、扩张和集合正规性
Selections, Extensions and Collectionwise Normality
摘要：
我们证明了经典的迈克尔选择定理l.s.c.在这种空间中，具有集合态正规整环的映射只能约化为紧值映射模Dowker扩张定理。用于实现这一减少的想法也适用于得到一个简单的直接证明的选择定理的迈克尔。还展示了一些其他可能的应用。
英文摘要：
We demonstrate that the classical Michael selection theorem for l.s.c. mappings with a collectionwise normal domain can be reduced only to compact-valued mappings modulo Dowker's extension theorem for such spaces. The idea used to achieve this reduction is also applied to get a simple direct proof of that selection theorem of Michael's. Some other possible applications are demonstrated as well.
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