Achievement Sets of Reciprocals of Complete Sequences

Author:

Marchwicki JacekORCID

Abstract

AbstractThe paper is dedicated to answer Question 1 from the preprint of the paper (Jones in Am Math Mon 118: 508-521, 2011). We show that it is possible to construct a complete sequence $$(x_n)$$ ( x n ) such that the achievement set $$A(\frac{1}{x_n})$$ A ( 1 x n ) is not an interval. In particular it can be a Cantorval.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference18 articles.

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