We investigate an algebraic notion of decidability which allows a uniform investigation of a large class of notions of forcing. Among other things, we show how to build σ-fields of sets connected with Laver and Miller notions of forcing and we show that these σ-fields are closed under the Suslin operation.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-8,
author = {W. Ku\l aga},
title = {On fields and ideals connected with notions of forcing},
journal = {Colloquium Mathematicae},
volume = {106},
year = {2006},
pages = {271-281},
zbl = {1100.28001},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-8}
}
W. Kułaga. On fields and ideals connected with notions of forcing. Colloquium Mathematicae, Tome 106 (2006) pp. 271-281. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-8/