πΆπ semialgebraic sections over the plane
2022 Volume 74 Issue 3 Pages 759-811
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2022 Volume 74 Issue 3 Pages 759-811
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 β be a semialgebraic bundle with respect to πΆ^{π}_{πππ}(β2, βπ·). If β has a section, then it has a semialgebraic section.
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Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
Proceedings of the Tokyo Mathematico-Physical Society. 2nd Series
Tokyo Sugaku-Butsurigakukwai Kiji-Gaiyo
Tokyo Sugaku-Butsurigakkwai Hokoku
Tokyo Sugaku-Butsurigaku Kwai Kiji
