Comment to "Almost disjoint sets, the dense set problem and the partition calculus"

This text highlights issues present in the proof of Lemma 6.10 of the Baumgartner (1943 – 2011) article “Almost disjoint sets, the dense set problem and the partition calculus” of 1976, and intends to present a correction at the same time it proves a stronger result mentioned in the article to have similar proof.