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On the Local Characterization of Homeomorphisms

Fang Ainong(Department of Mathematics,Jiao Tong University,Shanghai, 200030)  
We introduce the modular and ring dilatations K(x,f)and K(x,f)of the homeomor-phism y=f(x):D→D’ at the point x,and prove that they and the sphere dilatation H(x,f)all are up-per semi-continuous in D.
【CateGory Index】: O174.55
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Chinese Journal Full-text Database 3 Hits
1 CHEN Xingdi~* *Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China.;Beurling-Ahlfors Extensions and Harmonic Mappings[J];Chinese Annals of Mathematics;2007-04
2 Fang Ainong (Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China);On the Compactness of Homeomorphisms with Integrable Dilatations[J];ACTA MATHEMATICA SINICA;1998-03
3 Fang Ainong (Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200030, China);The ACL Property of Homeomorphisms under Weak Conditions[J];ACTA MATHEMATICA SINICA;1998-04
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