We show that the Proper Forcing Axiom implies the Singular Cardinal Hypothesis.
The proof uses the reflection principle MRP introduced by Moore in [11].
@article{1146620153,
author = {Viale, Matteo},
title = {The proper forcing axiom and the singular cardinal hypothesis},
journal = {J. Symbolic Logic},
volume = {71},
number = {1},
year = {2006},
pages = { 473-479},
language = {en},
url = {http://dml.mathdoc.fr/item/1146620153}
}
Viale, Matteo. The proper forcing axiom and the singular cardinal hypothesis. J. Symbolic Logic, Tome 71 (2006) no. 1, pp. 473-479. http://gdmltest.u-ga.fr/item/1146620153/