On Arhangelskii's Problem
逻辑
2007-05-23 v1 一般拓扑
摘要
We prove the consistency (modulo supercompact) of a negative answer to Arhangelskii's problem (some Hausdorff compact space cannot be partitioned to two sets not containing a closed copy of Cantor discontinuum). In this model we have CH. Without CH we get consistency results using a pcf assumption, close relatives of which are necessary for such results.
引用
@article{arxiv.math/9906025,
title = {On Arhangelskii's Problem},
author = {Saharon Shelah},
journal= {arXiv preprint arXiv:math/9906025},
year = {2007}
}
备注
Preliminary Report