On finite-to-one open mappings |
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Authors: | N. V. Velichko |
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Affiliation: | 1.Institute of Mathematics and Mechanics,Ural Division of the Russian Academy of Sciences,Yekaterinburg,Russia |
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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. |
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