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.
| ISBN: | 9780821875575 |
| Publication date: | 30th May 2013 |
| Author: | Dominique Lecomte |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 83 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Mathematical logic |
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.
Potential Wadge Classes features in the following genres: Mathematical logic
Potential Wadge Classes is available in Paperback, Ebook
Potential Wadge Classes was written by Dominique Lecomte and published by American Mathematical Society
Potential Wadge Classes has 83 pages
Yes it is part of Memoirs of the American Mathematical Society series