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Topologies on homeomorphism spaces of certain metric spaces |
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| Authors: | Jiagang Ren Xicheng Zhang |
| Affiliation: | a Department of Mathematics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR China b School of Mathematics and Computational Science, Zhongshan University, Guangzhou, Guangdong 510275, PR China |
| Abstract: | A new proof for the equivalence of several topologies on homeomorphism groups over certain metric spaces X is given, which is based on the metric of X. |
| Keywords: | Metric space Homeomorphism space Compact open topology Continuum |
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