Idal-like properties of generalized microscopic sets
Klaudiusz Czudek , Adam Kwela , Nikodem Mrożek , Wojciech Wołoszyn
AbstractWe show that not every family of generalized microscopic sets forms an ideal. Moreover, we prove that some of these families have some weaker additivity properties and some of them do not have even that.
|Journal series||Acta Mathematica Hungarica, ISSN 0236-5294, (A 15 pkt)|
|Publication size in sheets||0.8|
|Keywords in English||microscopic set, Lebesgue null set, Cantor set, ideal|
|Score|| = 15.0, 20-12-2017, ArticleFromJournal|
= 20.0, 20-12-2017, ArticleFromJournal
|Publication indicators||: 2016 = 0.583 (2) - 2016=0.509 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.