Description

• Title:
  Łojasiewicz exponent of overdetermined semialgebraic mappings
• Creator:
  Spodzieja, Stanisław;
  Szlachcińska, Anna
• Contributor:
  Krasiński, Tadeusz;
  Spodzieja, Stanisław;
  Faculty of Mathematics and Computer Science, University of Łódź, ul. S. Banacha 22, 90-238 Łódź, Poland;
  spodziej@math.uni.lodz.pl;
  anna_loch@wp.pl
• Description:
  We prove that both local and global Łojasiewicz exponent of a continuous overdetermined semialgebraic mapping F : X → Rᵐ on a closed semialgebraic set X ⊂ Rⁿ (i.e. m > dimX) are equal to the Łojasiewicz exponent of the composition L ₒ F : X → Rᵏ for the generic linear mapping L : Rᵐ → Rᵏ, where k = dimX.
• Object availability:
  free access
• Rights:
  Uznanie autorstwa-Użycie niekomercyjne-Bez utworów zależnych 3.0 Polska;
  http://creativecommons.org/licenses/by-nc-nd/3.0/pl ;
  © Copyright by Authors, Łódź 2017; © Copyright for this edition by Uniwersytet Łódzki, Łódź 2017
• Date:
  2017.12.28;
  2017
• Type:
  Book chapter
• Language:
  English
• Format:
  application/pdf;
  image/jpeg
• Publisher:
  Łódź University Press
• Relation:
  Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry 2, Łódź University Press, Łódź 2017;
• Identifier:
  Spodzieja S., Szlachcińska A., Łojasiewicz exponent of overdetermined semialgebraic mappings, [in:] Krasiński T., Spodzieja S. (eds), Analytic and Algebraic Geometry2, Łódź University Press, Łódź 2017, p. 179-188, doi: 10.18778/8088-922-4.20;
  978-83-8088-922-4;
  http://hdl.handle.net/11089/23781 ;
  978-83-8088-923-1;
  10.18778/8088-922-4.20
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  seek permission
• Type:
  text