Abstract
Some general criteria of being a homeomorphism for continuous maps of topological spaces and topological manifolds are proved in this paper, as well as criteria of being a diffeomorphism for smooth maps of smooth manifolds.
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Original Russian Text © M.F. Prokhorova, 2008, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Vol. 14, No. 1.
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Prokhorova, M.F. Problems of homeomorphism arising in the theory of grid generation. Proc. Steklov Inst. Math. 261 (Suppl 1), 165–182 (2008). https://doi.org/10.1134/S0081543808050155
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DOI: https://doi.org/10.1134/S0081543808050155