Members of thin π⁰₁ classes and generic degrees

• المؤلفون الرئيسيون: Stephan, Frank, Wu, Guohua, Yuan, Bowen
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2022
• الموضوعات: Science::Mathematics; Turing Degrees; Genericity
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/162480
• المؤسسة: Nanyang Technological University

A π⁰₁ class P is thin if every π⁰₁ subclass Q of P is the intersection of P with some clopen set. In 1993, Cenzer, Downey, Jockusch and Shore initiated the study of Turing degrees of members of thin π⁰₁ classes, and proved that degrees containing no members of thin π⁰₁ classes can be recursively enu...