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math.AG2024
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…
math.AG2024
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…
math.AG2024
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…