In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesis imply that the product of ccc spaces is a ccc space. The Continuum Hypothesis is then used to construct the Laver-Gavin example of two ccc spaces whose product is not a ccc space.
@article{urn:eudml:doc:41105,
title = {Is the product of ccc spaces a ccc space?},
journal = {Publicacions Matem\`atiques},
volume = {33},
year = {1989},
pages = {173-183},
zbl = {0717.54001},
mrnumber = {MR1030962},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41105}
}
Roy, Nina M. Is the product of ccc spaces a ccc space?. Publicacions Matemàtiques, Tome 33 (1989) pp. 173-183. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41105/