Continuity properties of finely plurisubharmonic functions and pluripolarity Said El MarzguiouiJan Wiegerinck 32U1532U0530G1231C40finely plurisubharmonic functionpluripolarity We prove that every bounded finely plurisubharmonic function can be locally (in the pluri-fine topology) written as the difference of two usual plurisubharmonic functions. As a consequence, finely plurisubharmonic functions are continuous with respect to the pluri-fine topology. Moreover, we show that $-\infty$ sets of finely plurisubharmonic functions are pluripolar, hence graphs of finely holomorphic functions are pluripolar. Indiana University Mathematics Journal 2010 text pdf 10.1512/iumj.2010.59.4078 10.1512/iumj.2010.59.4078 en Indiana Univ. Math. J. 59 (2010) 1793 - 1800 state-of-the-art mathematics http://iumj.org/access/