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On Open and α-Covering Mappings


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Abstract

We prove that an open mapping of compact metric spaces can be made α-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.

About the authors

K. V. Storozhuk

Sobolev Institute of Mathematics

Author for correspondence.
Email: stork@math.nsc.ru
Russian Federation, Novosibirsk

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