Hausdorff gaps reconstructed from Luzin gaps
Logic
2009-03-05 v1 Combinatorics
Abstract
We consider a question: Can a given AD-family be ADR for two orthogonal uncountable towers? If , then we rebuilt any AD-family of the cardinality onto a Hausdorff pre-gap. Moreover, if a such AD-family is a Luzin gap, then we obtain a Hausdorff gap. Under , a similar rebuilding is impossible.
Cite
@article{arxiv.0903.0810,
title = {Hausdorff gaps reconstructed from Luzin gaps},
author = {Piotr Kalemba and Szymon Plewik},
journal= {arXiv preprint arXiv:0903.0810},
year = {2009}
}
Comments
7 pages