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Potential Wadge classes
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eBook
Potential Wadge classes
2013
Overview
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.
Publisher
American Mathematical Society
Subject
ISBN
9780821875575, 0821875574
