Potential Wadge Classes (eBook)

Dominique Lecomte (Autor)

eBook Download: PDF

83 Seiten
American Mathematical Society (Verlag)
978-0-8218-9459-0 (ISBN)

Infos

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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• ISBN-10: 0-8218-9459-5 / 0821894595
• ISBN-13: 978-0-8218-9459-0 / 9780821894590