Description

• Title:
  Convergence in measure and in category
• Creator:
  Wilczyński, Władysław
• Description:
  W. Orlicz in 1951 has observed that if {fn( ·, y)}n∈N converges in measure to f( ·, y) for each y∈[0,1], then {fn}n∈N converges in measure to f on [0,1]×[0,1]. The situation is different for the convergence in category even if we assume the convergence in category of sequences {fn( ·, y)}n∈N for each y∈[0,1] and {fn(x, · )}n∈N for each x∈[0,1].
• Object availability:
  free access
• Date:
  2020.05.08
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Annales Mathematicae Silesianae; Vol 34 No 1 (2020); 164-168;
  Annales Mathematicae Silesianae; Tom 34 Nr 1 (2020); 164-168;
  2391-4238;
  0860-2107
• Format:
  application/pdf
• Publisher:
  University of Silesia Press
• Relation: https://journals.us.edu.pl/index.php/AMSIL/article/view/13641/10447
• Identifier: https://journals.us.edu.pl/index.php/AMSIL/article/view/13641
• Data provider:
  Czasopisma Wydawnictwa Uniwersytetu Śląskiego
• Can I use it?:
  seek permission
• Type:
  other