Guessing clubs for aD, non D-spaces
General Topology
2010-08-12 v2 Logic
Abstract
We prove that there exists a 0-dimensional, scattered space such that is aD but not linearly D, answering a question of Arhangel'skii. The constructions are based on Shelah's club guessing principles.
Cite
@article{arxiv.1007.1666,
title = {Guessing clubs for aD, non D-spaces},
author = {Daniel Soukup},
journal= {arXiv preprint arXiv:1007.1666},
year = {2010}
}
Comments
9 pages, extended with remarks