Electronic Journal of Differential Equations, Conference 04 (2000), pp. 11-15. Title: Remarks on the relativistic self-dual Maxwell-Chern-Simons-Higgs system Author: Dongho Chae (Seoul National Univ., Seoul, Korea, USA) Abstract: In this short note we announce some recent developements on the topological multi-vortex solutions of the self-dual Maxwell-Chern-Simons Higgs system. We find that all the topological solutions are admissible. We also discover that the convergence of the topological solution to the solutions of the self-dual Chern-Simons equations can be improved to be strong. Published July 12, 2000. Math Subject Classifications: 35Q80. Key Words: Chern-Simons; Maxwell; Higgs; self-dual; topological vortex solution.