Lageman, Christian2015-12-080025-584Xhttp://hdl.handle.net/1885/35301S. Łojasiewicz has shown that the ω-limit sets of the trajectories of analytic gradient systems consist of at most one point. We extend this result to the larger class of gradient-like vector fields satisfying an angle condition. In particular, this incKeywords: ?-limit set; Analytic-geometric categories; Convergence; Gradient-like systems; O-minimal structures200710.1002/mana.2004105642015-12-08