Published papers on project 1-01-253

• Paper in journal 0
  

1. Type of paper: Paper in journal
   

   Title: Weakly universal limits of approximate mappings
   

   Authors:

   Čerin, Zvonko (7994)

   Journal: Colloquia Mathematica Societatis Janos Bolyai
   Number: 1
   Volume: 55
   Year: 1993
   Pages: from 65 to 90
   Number of references: 9
   Language: engleski
   Summary: A map f between topological spaces X and Y is universal (in the sense of Holsztynski) provided it has a coincidence with every map g from X into Y. Recently Jose M. R. Sanjurjo and the author have shown that the limit of an approximately universal mapping from an approximate inverse system of compact Hausdorff spaces into an approximate ANR-system is a universal map. The main purpose of this paper is to establish similar results for three weaker forms of universality which we call alpha-universal, beta-universal, and gamma-universal maps. All of these notions are potentially useful in the fixed point theory because a space has the fixed point property if and only if it's identity map has any of the above four forms of universality.
   Keywords: universal map, coincidence, fixed point property, approximate inverse system, approximate mapping, limit, alpha-universal, beta-universal, gamma-universal, absolute neighborhood retract
   

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