In this paper we settle the two-dimensional case of a conjecture involving unknown semialgebraic functions with specified smoothness. More precisely, we prove the following result: Let H be a semialgebraic bundle with respect to Clocm (R2, RD). If H has a section, then it has a semialgebraic section.
All Science Journal Classification (ASJC) codes
- General Mathematics
- semialgebraic functions
- semialgebraic sections
- system of linear equations