摘要
本文讨论了F.E.Browder建立的广义拓扑度的一些性质,得到了一类单调型映射的开映射定理;作为应用,考虑了L.Nirenberg关于扩张映射满射性的猜测。
Discusses some characteristics of the generalized topological degree established by Browder F. E. and provides an open map theorem for a class of monotone mappings. As one of the applications, studies the surjectivity of expanding mappings supposed by Nirenberg L.
基金
国家自然科学基金
关键词
拓扑度
单调型映射
扩张映射
满射
topological degree, (S)+-type mapping, quasi-(S)+-type mapping, expanding mapping, surjection.
