Abstract
The main result of this paper is to prove that for a subsetB of the euclidean plane possessing the property of Baire, each point outside of some first category subset ofB is a point of categorical directional density in all directions except, perhaps, a first category set of directions. This result is the category analogue of a result on metric directional densities derived by Bruckner and Rosenfeld and provides an affirmative answer to a question raised by Ceder in the setting of set theory.
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