Potential wadge classes
Author(s)
Bibliographic Information
Potential wadge classes
（Memoirs of the American Mathematical Society, no. 1038）
American Mathematical Society, c2012
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Note
"January 2013, volume 221, number 1038 (second of 5 numbers)."
Includes bibliographical references (p. 83)
Description and Table of Contents
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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