This is an announcement for the paper "$\mathcal A$-compact mappings" by Pablo Turco. Abstract: For a fixed Banach operator ideal $\mathcal A$, we study $\mathcal A$-compact polynomials and $\mathcal A$-compact holomorphic mappings. We show that the behavior of $\mathcal A$-compact polynomials is determined by its behavior in any neighborhood of any point. We transfer some known properties of $\mathcal A$-compact operators to $\mathcal A$-compact polynomials. In order to study $\mathcal A$-compact holomorphic functions, we appeal to the $\mathcal A$-compact radius of convergence which allows us to characterize the functions in this class. Under certain hypothesis on the ideal $\mathcal A$, we give examples showing that our characterization is sharp. Archive classification: math.FA Mathematics Subject Classification: 46G20, 46B20, 46G25 Remarks: 21 Pages Submitted from: paturco@dm.uba.ar The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1505.08037 or http://arXiv.org/abs/1505.08037