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math.CV2016
Effective approximation of the solutions of algebraic equations
Marcin Bilski, Peter Scheiblechner
Let F be a holomorphic map whose components satisfy some polynomial relations. We present an algorithm for constructing Nash maps locally approximating F, whose components satisfy…
math.CV2016
Higher order approximation of analytic sets by topologically equivalent algebraic sets
Marcin Bilski, Krzysztof Kurdyka, Adam Parusinski +1
It is known that every germ of an analytic set is homeomorphic to the germ of an algebraic set. In this paper we show that the homeomorphism can be chosen in such a way that the an…