Potential Wadge Classes

Potential Wadge Classes
Author :
Publisher : American Mathematical Soc.
Total Pages : 95
Release :
ISBN-10 : 9780821875575
ISBN-13 : 0821875574
Rating : 4/5 (75 Downloads)

Book Synopsis Potential Wadge Classes by : Dominique Lecomte

Download or read book Potential Wadge Classes written by Dominique Lecomte and published by American Mathematical Soc.. This book was released on 2013-01-25 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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