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On open and $\alpha$-covering mappings
K. V. Storozhukab a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
We prove that an open mapping of compact metric spaces can be made $\alpha$-covering if the metric of the image is changed. An example is given in which this cannot be achieved by changing the metric in the departure space.
Keywords:
open mapping, covering mapping, submetry, multivalued mapping.
Received: 06.03.2017
Citation:
K. V. Storozhuk, “On open and $\alpha$-covering mappings”, Sibirsk. Mat. Zh., 59:2 (2018), 453–460; Siberian Math. J., 59:2 (2018), 357–362
Linking options:
https://www.mathnet.ru/eng/smj2985 https://www.mathnet.ru/eng/smj/v59/i2/p453
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