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Analytic Plane Sets are Locally 2n-stars: A dynamically based Proof |
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PP: 2355-2360 |
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Author(s) |
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José Ginés Espín Buendía,
Víctor Jiménez López,
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Abstract |
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| A new, elementary proof of a well-known result, stating that the set of zeros of a two-variable analytic real function is locally
a star with an even number of branches, is given. In contrast to other proofs available in the literature, ours is mainly based in some
standard Poincar´e-Bendixson theory. |
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