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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigidity results in mapping class groups and homeomorphism groups
映射类群 同胚群 刚性结果
2023/11/13
Mapping class groups and homeomorphism groups are symmetry groups of surfaces and all manifolds. They are usually very rigid, in the sense that their automorphism groups only consist of conjugation. I...
Minimal hyperspace actions of homeomorphism groups of h-homogeneous spaces
Minimal hyperspace actions universal minimal space h-homogeneous homogeneous Boolean algebra maximal chains generalized Cantor sets
2011/8/29
Abstract: Let X be a h-homogeneous zero-dimensional compact Hausdorff space, i.e. X is a Stone dual of a homogeneous Boolean algebra. Using the dual Ramsey theorem and a detailed combinatorial analysi...
On Linear the Homeomorphism Between Function Spaces Cp(X) and Cp,A(X) \times Cp (A)
Function Spaces linear homeomorphism pointwise topology
2010/2/26
In this paper, we investigate a linear homeomorphism between function spaces Cp(X) and Cp,A(X) \times Cp(A) , where X is a normal space and A is a neighborhood retraction of X.