Germ-typicality of the coexistence of infinitely many sinks

The paper proves Theorem A: near any dissipative bicycle, the Newhouse phenomenon is Cr-germ-typical, precisely as stated in the introduction and Main Theorem A . Its strategy stabilizes a heterocycle into a strong heterocycle and then uses a new renormalization to create (para)blenders and robust paratangencies, culminating in Theorem 2.14 which yields infinitely many sinks for every parameter in a small interval for a Baire-generic set of families . The candidate solution argues via a more classical route (Palis–Takens renormalization to Hénon-like maps and Newhouse thickness/GAP-lemma), but its high-level steps align with the paper’s core ingredients: from a dissipative bicycle, produce a parablender near the source and obtain familywise r-flat paratangencies leading to infinitely many sinks uniformly for |a| < δ . Minor omissions in the model outline (e.g., the need to create an alternate chain of heterocycles and a negative stable eigenvalue before obtaining a paraheterocycle) are supplied explicitly in the paper (Corollary 2.12, Theorem C) . Hence both are correct, but the proofs are methodologically different: the paper’s “nearly affine (para)blender” renormalization contrasts with the model’s Palis–Takens/Hénon-like thickness route.