Eventually Different Functions and Inaccessible Cardinals Jörg Brendle, Benedikt Löwe Abstract: We prove that the statement "All Sigma-1-2 sets of reals have the Baire property in the eventually different topology" is equivalent to "omega-1 is inaccessible by reals". We determine the strength of the statement "All Delta-1-2 sets of reals have the Baire property in the eventually different topology" in terms of implications and non-implications from typical regularity property statements.