Remarks on subsequences, subseries and rearrangements-Reference-Cited by-同舟云学术

Remarks on subsequences, subseries and rearrangements

Published:1977 Issue:2 Volume:67 Page:293-296
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Rao M. Bhaskara,Rao K. P. S. Bhaskara,Rao B. V.

Abstract

In this paper we shall evaluate the measure theoretic, as well as topological (Baire category theoretic) complexity of the set of convergent subsequences of a given sequence of real numbers. Similar problems regarding subseries and rearrangements of a given series are also discussed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1977-067-02/S0002-9939-1977-0493027-2/S0002-9939-1977-0493027-2.pdf

Reference5 articles.

1. On rearrangements of series;Agnew, Ralph Palmer;Bull. Amer. Math. Soc.,1940

2. Measure Theory

3. Graduate Texts in Mathematics;Oxtoby, John C.,1980

4. Problems and Solutions: Solutions of Advanced Problems: 5805;Stout, John;Amer. Math. Monthly,1972

5. On subseries of divergent series;Šalát, Tibor;Mat. \v{C}asopis Sloven. Akad. Vied,1968

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