2 citations · 4 across the 9 of their papers we have counts for
9 papers · 1 filter
Approximation of maps from algebraic polyhedra to real algebraic varieties
Marcin Bilski, Wojciech Kucharz
Given a finite simplicial complex in and a real algebraic variety by a -regular map we mean a continuous…
Spaces of maps between real algebraic varieties
Wojciech Kucharz
Given two real algebraic varieties X and Y, we denote by R(X,Y) the set of all regular maps from X to Y. The set R(X,Y) is regarded as a topological subspace of the space C(X,Y) of…
Approximation of maps between real algebraic varieties
Juliusz Banecki, Wojciech Kucharz
A nonsingular real algebraic variety Y is said to have the approximation property if for every real algebraic variety X the following holds: if f:X-->Y is a C^inf map that is homot…
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.…
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…
Approximation by piecewise-regular maps
Marcin Bilski, Wojciech Kucharz
A real algebraic variety W of dimension m is said to be uniformly rational if each of its points has a Zariski open neighborhood which is biregularly isomorphic to a Zariski open s…