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topological groups
- 这份讲稿除了在关于拓扑群的某些细节以外都是自封的。
Helgason's books Differential Geometry, Lie Groups, and Symmetric Spaces and Groups and Geometric Analysis, intermixed with new content created for the class. - 摘要在交换拓扑群上引入了(α,β)型几乎凸半群的概念，并由此可以给出渐近非扩张半群及渐近非扩张型半群的不动点定理。
This paper has introduced the concept of (α,β) type almost convex semigroup, and obtain the fixed point theorem for asymptotically nonexpansive semigroups and asymptotically nonexpansive type semigroups. - 学生需要预修18.100B（分析和度量空间）和18.700（线性代数）。预修过课程18.101（多变数微积分）或者熟悉拓扑群都对学习本课程有帮助。
These are 18.100B (Analysis and Metric Spaces) and 18.700 (Linear Algebra). The course 18.101 (Calculus in Several Variables) would be useful and some familiarity with topological groups is also helpful.
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