Date of Original Version
The final publication is available at Springer via http://dx.doi.org/10.2478/s11533-010-0001-z
Abstract or Description
Answering a question raised by Luis Pereira, we show that a continuous tree-like scale can exist above a supercompact cardinal. We also show that the existence of a continuous tree-like scale at ℵω is consistent with Martin’s Maximum.
Central European Journal of Mathematics, 8, 2, 314-318.