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math.AG2022
Hartogs-type theorems in real algebraic geometry, I
Marcin Bilski, Jacek Bochnak, Wojciech Kucharz
Let f:X-->R be a function defined on a connected nonsingular real algebraic set X in R^n. We prove that regularity of f can be detected on either algebraic curves or surfaces in X.…
math.AG2020★ 1 cited
On approximation of maps into real algebraic homogeneous spaces
Jacek Bochnak, Wojciech Kucharz
Let X be a compact (resp. compact and nonsingular) real algebraic variety and let Y be a homogeneous space for some linear real algebraic group. We prove that a continuous (resp. C…