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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
Full-text in one file
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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