Colouring and non-productivity of aleph_2-cc
Logic
2008-02-03 v1 General Topology
Abstract
We prove that colouring of pairs from aleph_2 with strong properties exists. The easiest to state (and quite a well known problem) it solves: there are two topological spaces with cellularity aleph_1 whose product has cellularity aleph_2 ; equivalently we can speak on cellularity of Boolean algebras or on Boolean algebras satisfying the aleph_2-c.c. whose product fails the aleph_2-c.c. We also deal more with guessing of clubs.
Keywords
Cite
@article{arxiv.math/9609218,
title = {Colouring and non-productivity of aleph_2-cc},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:math/9609218},
year = {2008}
}