Results on top-quark physics and top-quark-like signatures by CMS

This report reviews the results obtained by the CMS Collaboration on top quark physics, focusing on the latest ones based on p–p collisions provided by the LHC at $\sqrt{s}=13TeV$ during Run II. It covers measurements of single-top, top quark pairs and associated productions as well as measurements of top quark properties. Finally several beyond the standard model searches involving top quark in the final states are presented, such as searches for supersymmetry in the third generation, heavy resonances decaying into a top quark pair, or dark matter produced in association to a single-top or a top quark pair. (paper)