@article{2deda2cc4d6b44a287294633624f9922,
title = "Cm semialgebraic sections over the plane",
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.",
keywords = "semialgebraic functions, semialgebraic sections, system of linear equations",
author = "Charles Fefferman and Luli, {Garving K.}",
note = "Funding Information: The first author is supported by the Air Force Office of Scientific Research (AFOSR), under award FA9550-18-1-0069, the National Science Foundation (NSF), under grant DMS-1700180, and the US-Israel Binational Science Foundation (BSF), under grant 2014055. The second author is supported by NSF Grant DMS-1554733 and the UC Davis Chancellor{\textquoteright}s Fellowship. Publisher Copyright: {\textcopyright} 2022 Mathematical Society of Japan. All rights reserved.",
year = "2022",
month = jul,
doi = "10.2969/jmsj/86258625",
language = "English (US)",
volume = "74",
pages = "759--811",
journal = "Journal of the Mathematical Society of Japan",
issn = "0025-5645",
publisher = "Mathematical Society of Japan - Kobe University",
number = "3",
}