Potential Wadge Classes

Released on by Dominique Lecomte
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  • Potential Wadge Classes Book Detail

  • Author : Dominique Lecomte
  • Release Date : 2013-01-25
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 95
  • ISBN 13 : 0821875574
  • File Size : 38,38 MB
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Potential Wadge Classes by Dominique Lecomte PDF Summary

Book Description: Let $\bf\Gamma$ be a Borel class, or a Wadge class of Borel sets, and $2\!\leq\! d\!\leq\!\omega$ be a cardinal. A Borel subset $B$ of ${\mathbb R}^d$ is potentially in $\bf\Gamma$ if there is a finer Polish topology on $\mathbb R$ such that $B$ is in $\bf\Gamma$ when ${\mathbb R}^d$ is equipped with the new product topology. The author provides a way to recognize the sets potentially in $\bf\Gamma$ and applies this to the classes of graphs (oriented or not), quasi-orders and partial orders.

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