Remarks on small sets on the real line Remarks on small sets on the real line

Małgorzata Filipczak; Elžbieta Wagner-Bojakowska

doi:10.2478/v10127-009-0007-8

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Remarks on small sets on the real line Remarks on small sets on the real line

Tatra Mountains Mathematical Publications

Volume 42 (2009): Issue 1 (April 2009)

By: Małgorzata Filipczak and Elžbieta Wagner-Bojakowska

Open Access

|Nov 2012

Abstract

We consider two kinds of small subsets of the real line: the sets of strong measure zero and the microscopic sets. There are investigated the properties of these sets. The example of a microscopic set, which is not a set of strong measure zero, is given.

References

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Articles in this issue

DOI: https://doi.org/10.2478/v10127-009-0007-8 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 73 - 80

Published on: Nov 12, 2012

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

microscopic set,

set of strong measure zero.

Related subjects:

Mathematics,

General mathematics

© 2012 Małgorzata Filipczak, Elžbieta Wagner-Bojakowska, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons License.

Volume 42 (2009): Issue 1 (April 2009)