A short proof that equisingular plane curve singularities are topologically equivalent
Szymon Brzostowski, Tadeusz Krasiński, Justyna Walewska
Abstract
Open-access reader
Szymon Brzostowski, Tadeusz Krasiński, Justyna Walewska
Abstract
Open-access reader
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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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