Abstract
We prove that the lower density operator associated with the Baire category density points in the real line has Borel values of class pmb Pi ^0_3 which is analogous to the measure case. We also introduce the notion of the Baire category density point of a subset with the Baire property of the Cantor space, and we prove that it generates a lower density operator with Borel values of class pmb Pi ^0_3.
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