Abstract
The global homeomorphism theorem is the following specifically multidimensional phenomenon: any locally homeomorphic quasiconformal mapping f: R n → R n is a bijection if n≥3.
We present here a brief review of results and open problems related to this theorem.
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Zorich, V.A. (1992). The global homeomorphism theorem for space quasiconformal mappings, its development and related open problems. In: Vuorinen, M. (eds) Quasiconformal Space Mappings. Lecture Notes in Mathematics, vol 1508. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094243
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DOI: https://doi.org/10.1007/BFb0094243
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