A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2004; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
Simple forcing notions and forcing axioms

1997
*
Journal of Symbolic Logic (JSL)
*

In the present paper we are interested in simple forcing notions and Forcing Axioms. A starting point for our investigations was the article [4] in which several problems were posed. We answer some of those problems here. In the first section we deal with the problem of adding Cohen reals by simple forcing notions. Here we interpret simple as of small size. We try to establish as weak as possible versions of Martin Axiom sufficient to conclude that some forcing notions of size less than the

doi:10.2307/2275644
fatcat:vr4g3jnktrfuhhnr6nq3xaxfim