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Sibirskii Matematicheskii Zhurnal, 2018, Volume 59, Number 2, Pages 453–460
DOI: https://doi.org/10.17377/smzh.2018.59.218 (Mi smj2985) 		 
On open and $\alpha$-covering mappings

K. V. Storozhukab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2018.59.218
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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-05929
The author was supported by the Russian Foundation for Basic Research (Grant 15-01-05929).
Received: 06.03.2017
English version:
Siberian Mathematical Journal, 2018, Volume 59, Issue 2, Pages 357–362
DOI: https://doi.org/10.1134/S0037446618020180
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35R30
Language: Russian
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
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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