대한수학회보 (Bulletin of the Korean Mathematical Society)
- 제35권3호
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- Pages.515-525
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
A COMPACTNESS RESULT FOR A SET OF SUBSET-SUM-DISTINCT SEQUENCES
초록
In this paper we obtain a "compactness" result that asserts the existence, in certain sets of sequences, of a sequence which has a maximal reciprocal sum. We derive this result from a much more general theorem which will be proved by introducing a metric into the set of sequences and using a topological argument.