Duality, uniformity, and linear local connectivity
Yang, Shanshuang
Illinois J. Math., Tome 53 (2009) no. 1, p. 339-347 / Harvested from Project Euclid
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Using Väisälä’s metric duality on joinability of sets, we show, among other things, that in ℝ3 if the complementary domains of a surface are LLC, they are also uniform. As an application, we show that an Ahlfors regular topological sphere that admits a quasiconformal reflection is quasisymmetrically equivalent to the standard sphere.
Publié le : 2009-05-15
Classification:  30C65,  55M05 
@article{1264170854,
     author = {Yang, Shanshuang},
     title = {Duality, uniformity, and linear local connectivity},
     journal = {Illinois J. Math.},
     volume = {53},
     number = {1},
     year = {2009},
     pages = { 339-347},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1264170854}
}

Yang, Shanshuang. Duality, uniformity, and linear local connectivity. Illinois J. Math., Tome 53 (2009) no. 1, pp.  339-347. http://gdmltest.u-ga.fr/item/1264170854/