Description

• Title:
  Michael's selection theorem for a mapping definable in an O-minimal structure defined on a set of dimesion 1
• Creator:
  Czapla, Małgorzata;
  Pawłucki, Wiesław
• Description:
  Let $R$ be a real closed field and let some o-minimal structure extending $R$ be given. Let $F\colon X \rightrightarrows R^m$ be a definable multivalued lower semicontinuous mapping with nonempty definably connected values defined on a definable subset $X$ of $R^n$ of dimension $1$ ($X$ can be identified with a finite graph immersed in $R^n$). Then $F$ admits a definable continuous selection.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2017 Topological Methods in Nonlinear Analysis
• Date:
  2017.01.11
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 49, No 1 (March 2017); 377 - 380;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.092/10764 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.092/10765
• Subject:
  Michael's selection theorem;
  o-minimal structure;
  finite graph;
  Primary;
  14P10;
  Secondary;
  54C60;
  54C65;
  32B20;
  49J53
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.092
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other