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On some properties of sets with positive measures

On some properties of sets with positive measures SummarySteinhaus (2) gave eleven theorems on distance sets of sets with positive measure. The author of this paper has shown here that all these theorems hold good if ratio sets are considered for sets with positive measure instead of their distance sets. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ANNALI DELL UNIVERSITA DI FERRARA Springer Journals

On some properties of sets with positive measures

Bose Majumder, N. C.
ANNALI DELL UNIVERSITA DI FERRARA , Volume 10 (1): 12 – Jan 1, 1961
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Publisher
Springer Journals
Copyright
Copyright © Università degli Studi di Ferrara 1961
ISSN
0430-3202
eISSN
1827-1510
DOI
10.1007/bf02824728
Publisher site
See Article on Publisher Site

Abstract

SummarySteinhaus (2) gave eleven theorems on distance sets of sets with positive measure. The author of this paper has shown here that all these theorems hold good if ratio sets are considered for sets with positive measure instead of their distance sets.

Journal

ANNALI DELL UNIVERSITA DI FERRARA – Springer Journals

Published: Jan 1, 1961

Keywords: Distinct Point; Positive Measure; Infinite Sequence; Rational Ratio; Ositive Rational

References

  • ,Vorlesungen Über Reelle Funktionen, Chelsea, pp
    C. Carathéodory