Idal-like properties of generalized microscopic sets

Klaudiusz Czudek , Adam Kwela , Nikodem Mrożek , Wojciech Wołoszyn


We 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.
Author Klaudiusz Czudek WMFiI
Klaudiusz Czudek ,,
- Faculty of Mathematics, Physics and Informatics
, Adam Kwela IM
Adam Kwela,,
- Institute of Mathematics
, Nikodem Mrożek IM
Nikodem Mrożek,,
- Institute of Mathematics
, Wojciech Wołoszyn WMFiI
Wojciech Wołoszyn ,,
- Faculty of Mathematics, Physics and Informatics
Journal seriesActa Mathematica Hungarica, ISSN 0236-5294
Issue year2016
Publication size in sheets0.8
Keywords in Englishmicroscopic set, Lebesgue null set, Cantor set, ideal
Languageen angielski
Score (nominal)20
ScoreMinisterial score = 15.0, 20-12-2017, ArticleFromJournal
Ministerial score (2013-2016) = 20.0, 20-12-2017, ArticleFromJournal
Publication indicators WoS Impact Factor: 2016 = 0.583 (2) - 2016=0.509 (5)
Citation count*0
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.