Topology + Foundations
32nd Summer Conference on Topology and Its Applications
One of the oldest problems in box products is if the countable box product of the convergent sequence is normal. It is known that consistenly (e.g., b=d, d=c) the answer is affirmative. A recent progress is due to Judy Roitman that states a combinatorial principle which also implies the normality and holds in many models.
Although the countable box product of the convergent sequence is normal in some models of b < d < c, Roitman asked what happen with her principle in this models. We answer that Roitman's principle is true in some models of b < d < c.
Copyright © 2017, the Author
Barriga-Acosta, Hector Alonso, "On Roitman's Principle for Box Products" (2017). Summer Conference on Topology and Its Applications. 27.