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.
Ginés Espín Buendía, José and Jiménez L?pez, Víctor
"Analytic Plane Sets are Locally 2n-stars: A dynamically based Proof,"
Applied Mathematics & Information Sciences: Vol. 09
, Article 17.
Available at: https://dc.naturalspublishing.com/amis/vol09/iss5/17