Non reality and non connectivity of complex polynomials
classification
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math.GT
keywords
polynomialscomplexequivalenttopologicallyanswersconnectedconnectivitycontinuous
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Using the same method we provide negative answers to the following questions: Is it possible to find real equations for complex polynomials in two variables up to topological equivalence (Lee Rudolph) ? Can two topologically equivalent polynomials be connected by a continuous family of topologically equivalent polynomials ?
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