A new small Dowker space
Logic
2022-09-22 v1
Abstract
It is proved that if there exists a Luzin set, or if either the stick principle or diamond(b) hold, then a strong instance of the guessing principle holds at the first uncountable cardinal. In particular, any of the above hypotheses entails the existence of a Dowker space of size .
Cite
@article{arxiv.2209.10504,
title = {A new small Dowker space},
author = {Assaf Rinot and Roy Shalev and Stevo Todorcevic},
journal= {arXiv preprint arXiv:2209.10504},
year = {2022}
}