In this note we give ZFC results that reduce the question of Maarten Maurice about the existence of Ïƒ-closed-discrete dense subsets of perfect generalized ordered spaces to the study of very specialâ€¦ (More)

For a space X and a regular uncountable cardinal Îº â‰¤ |X| we say that Îº âˆˆ D(X) if for each T âŠ‚ X2 âˆ’âˆ†(X) with |T | = Îº, there is an open neighborhood W of âˆ†(X) such that |Tâˆ’W | = Îº. If Ï‰1 âˆˆ D(X) thenâ€¦ (More)