The paper “Bi-Lipschitz Mane projectors and finite-dimensional reduction for complex Ginzburg-Landau equation“, by Anna Kostianko, has been accepted for publication in Proceedings A of the Royal Society of London. A link to the final form arXiv version is here. The paper presents a new method of establishing the finite-dimensionality of limit dynamics for semilinear parabolic systems with cross diffusion terms. The main theorem and its corollary are shown below.