1 citations · 2 across the 3 of their papers we have counts for
4 papers
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.…
Rational approximation of holomorphic maps
Jacek Bochnak, Wojciech Kucharz
Let X be a complex nonsingular affine algebraic variety, K a holomorphically convex subset of X, and Y a homogeneous variety for some complex linear algebraic group. We prove that…
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…
Checking real analyticity on surfaces
Jacek Bochnak, János Kollár, Wojciech Kucharz
We prove that a real-valued function (that is not assumed to be continuous) on a real analytic manifold is analytic whenever all its restrictions to analytic submanifolds homeomorp…