2017•arXiv (Cornell University)Open access

A short proof that equisingular plane curve singularities are topologically equivalent

Szymon Brzostowski, Tadeusz Krasiński, Justyna Walewska

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Abstract

We prove that if two plane curve singularities are equisingular, then they are topologically equivalent. The method we will use is P.~Fortuny~Ayuso's who proved this result for irreducible plane curve singularities.

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What this paper is about

We prove that if two plane curve singularities are equisingular, then they are topologically equivalent. The method we will use is P.~Fortuny~Ayuso's who proved this result for irreducible plane curve singularities.

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Available abstract

We prove that if two plane curve singularities are equisingular, then they are topologically equivalent. The method we will use is P.~Fortuny~Ayuso's who proved this result for irreducible plane curve singularities.

Key concepts: Gravitational singularity, Plane curve, Plane (geometry), Mathematics, Pure mathematics, Topological conjugacy, Mathematical analysis, Geometry

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