Abstract
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.
Original language | English (US) |
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Pages (from-to) | 759-811 |
Number of pages | 53 |
Journal | Journal of the Mathematical Society of Japan |
Volume | 74 |
Issue number | 3 |
DOIs | |
State | Published - Jul 2022 |
All Science Journal Classification (ASJC) codes
- General Mathematics
Keywords
- semialgebraic functions
- semialgebraic sections
- system of linear equations