K -Trivial Closed Sets and Continuous Functions

We investigate the notion of K-triviality for closed sets and continuous functions. Every K-trivial closed set contains a K-trivial real. There exists a K-trivial 0 1 class with no computable elements. For any K-trivial degree d, there is a K-trivial continuous function of degree d.

• Type: Conference
• Year: 2007
• Where: CIE
• Authors: George Barmpalias, Douglas A. Cenzer, Jeffrey B. Remmel, Rebecca Weber
• Keywords: Applied Computing, CIE 2007, Closed Set, Continuous Function, K-trivial Closed Set