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ON COVERING OF FUNDAMENTAL SEQUENCES

Annotation

For mappings between metric spaces, a sufficient condition for the completeness of the ranges in the case of the completeness of the domains or the graphs of the mappings is obtained. The condition is based on the covering of fundamental point sequences in the ranges by such sequences in the domains.

Keywords

completeness of metric spaces; mappings of metric spaces covering fundamental sequences

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UDC

515.12

Pages

277-280

References

1. Arutjunov A.V. Lekcii po vypuklomu i mnogoznachnomu analizu. M.: Fizmatlit, 2014. 2. Kelli Dzh.L. Obshhaja topologija. M.: Nauka, 1981.

Received

2015-04-02

Section of issue

Mathematics

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