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On finite-to-one open mappings
Authors:N. V. Velichko
Affiliation:1.Institute of Mathematics and Mechanics,Ural Division of the Russian Academy of Sciences,Yekaterinburg,Russia
Abstract:We investigate open finite-to-one (mainly, k-to-one) mappings of topological spaces. The notion of a rigid space is introduced. It is shown that the class of rigid spaces contains all Euclidean spaces and all zero-dimensional Lindelöf spaces. Examples are constructed and problems are formulated.
Keywords:
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