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International Congress of Mathematicians

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The Branch Set <strong>of</strong> a Quasiregular Alapping 699[10] A. Eremenko, Bloch radius, normal families and quasiregular mappings, Proc.Amer. Alath. Soc, 128 (2000), 557-560.[11] J. Heinonen and T. Kilpeläinen, BLD-mappings in W 2 ' 2 are locally invertible,Alath. Ann., 318 (2000), 391-396.[12] J. Heinonen and P. Koskela, Sobolev mappings with integrable dilatation, Arch.Rational Alech. Anal., 125 (1993), 81-97.[13] J. Heinonen and P. Koskela, Quasiconformal maps in metric spaces <strong>of</strong> controlledgeometry, Acta Alath., 181 (1998), 1-61.[14] J. Heinonen and S. Rickman, Quasiregular maps S 3 —¥ S 3 with wild branchsets, Topology, 37 (1998), 1-24.[15] J. Heinonen and S. Rickman, Geometric branched covers between generalizedmanifolds, Duke Alath. J., (to appear).[16] J. Heinonen and S. Semmes, Thirty-three yes or no questions about mappings,measures, and metrics, Conform. Geom. Dyn., 1 (1997), 1-12.[17] J. Heinonen and D. Sullivan, On the locally branched Euclidean metric gauge,Duke Alath. J., (to appear).[18] T. Iwaniec and G. Alartin, Geometric function theory and non-linear analysis,Oxford Alathematical Alonographs, Oxford University Press, Oxford (2001).[19] Al. Kiikka, Diffeomorphic approximation <strong>of</strong> quasiconformal and quasisymmetrichomeomorphisms, Ann. Acad. Sei. Fenn. Ser. A I Alath., 8 (1983), 251-256.[20] P. Koskela, Sobolev spaces and quasiconformal mappings on metric spaces, ProceedingsECA1 (Barcelona, 2000) Progress in Alath., 201, Birkhäuser (2001),457-467.[21] T. J. Laakso, Plane with A^-weighted metric not bilipschitz embeddable to R n ,Bull. London Alath. Soc, (to appear).[22] J. Luukkainen and J. Väisälä, Elements <strong>of</strong> Lipschitz topology, Ann. Acad. Sci.Fenn. Ser. A I Alath., 3 (1977), 85-122.[23] O. Alartio and V. I. Ryazanov, The Chernavskit theorem and quasiregular mappings,Siberian Adv. Alath., 10 (2000), 16-34.[24] O. Alartio and S. Rickman, Measure properties <strong>of</strong> the branch set and its image<strong>of</strong> quasiregular mappings, Ann. Acad. Sei. Fenn. Ser. A I Alath., 541 (1973),1-15.[25] O. Alartio, S. Rickman, and J. Väisälä, Topological and metric properties <strong>of</strong>quasiregular mappings, Ann. Acad. Sei. Fenn. Ser. A I Alath., 488 (1971), 1-31.[26] O. Alartio and J. Väisälä, Elliptic equations and maps <strong>of</strong> bounded length distortion,Alath. Ann., 282 (1988), 423-443.[27] Yu. G. Reshetnyak, Estimates <strong>of</strong> the modulus <strong>of</strong> continuity for certain mappings,Sibirsk. Alat. Z., 7 (1966), 1106-1114; English transi, in Siberian Alath.J., 7 (1966), 879-886.[28] Yu. G. Reshetnyak, Space mappings with bounded distortion, Translation <strong>of</strong>Alathematical Alonographs, 73, American Alathematical Society, Providence(1989).[29] S. Rickman, Quasiregular mappings, Ergebnisse der Alathematik und ihrerGrenzgebiete, 26 Springer-Verlag, Berlin Heidelberg New York (1993).[30] S. Rickman and U. Srebro, Remarks on the local index <strong>of</strong> quasiregular mappings,

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