Description

• Title:
  Baire Category Lower Density Operators with Borel Values
• Creator:
  Balcerzak, Marek;
  Hejduk, Jacek;
  Wachowicz, Artur
• Contributor:
  Uniwersytet Łódzki, Wydział Matematyki i Informatyki, Katedra Funkcji Rzeczywistych;
  jacek.hejduk@wmii.uni.lodz.pl
• Description:
  We prove that the lower density operator associated with the Baire category density points in the real line has Borel values of class &#928;<SUP>0</SUP><SUB>3</SUB> which is analogous to the measure case. We also introduce the notion of the Baire category density point of a subset with the Baire property of the Cantor space, and we prove that it generates a lower density operator with Borel values of class &#928;<SUP>0</SUP><SUB>3</SUB>.
• Object availability:
  free access
• Rights: http://creativecommons.org/licenses/by/4.0
• Date:
  2022.12.07;
  2023
• Type:
  Article
• Language:
  English
• Format:
  application/pdf
• Publisher:
  Springer Nature
• Relation:
  Results in Mathematics;
  78
• Subject:
  Lower density operator;
  density point;
  the Baire property;
  Borel level
• Identifier:
  1422-6383;
  http://hdl.handle.net/11089/44503 ;
  1420-9012;
  10.1007/s00025-022-01781-7
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  check license
• Type:
  image