The invariance of inner and outer linearly locally connected sets under quasiconformal mappings |
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| Authors: | Yuming Chu Gendi Wang Xiaohui Zhang |
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| Institution: | Department of Mathematics, Huzhou University, Huzhou 313000, PR China |
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| Abstract: | In this paper, we prove that the inner and outer linearly locally connected sets of Rn are invariant respectively under quasiconformal mappings which fixed the point at infinity. On the other hand, we prove the converses of above results to be true also. |
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| Keywords: | Linearly locally connected sets Quasiconformal mappings and quasidisks |
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