<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We examine the <italic>σ</italic>-ideal generated by complements of sums of sets from partitions into meager and null sets. We prove some characterizations of this <italic>σ</italic>-ideal.</p></abstract>

We examine the σ-ideal generated by complements of sums of sets from partitions into meager and null sets. We prove some characterizations of this σ-ideal.

On Ideals Generated by Partitions into Meager and Null Sets

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Ideals Generated by Partitions into Meager and Null Sets

Published Online: Nov 04, 2020

Page range: 63 - 70

Received: Nov 11, 2020

DOI: https://doi.org/10.2478/tmmp-2020-0018

Keywords
meager sets, null sets, partitions into meager and null sets, additive properties of small subsets of the real line

© 2020 Andrzej Nowik, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On Ideals Generated by Partitions into Meager and Null Sets

Published Online: Nov 04, 2020

Page range: 63 - 70

Received: Nov 11, 2020

DOI: https://doi.org/10.2478/tmmp-2020-0018

Keywordsmeager sets, null sets, partitions into meager and null sets, additive properties of small subsets of the real line

© 2020 Andrzej Nowik, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
meager sets, null sets, partitions into meager and null sets, additive properties of small subsets of the real line