Continuous Maps on Aronszajn Trees
Logic
2010-08-30 v1 General Topology
Abstract
Assuming Jenson's principle diamond: Whenever B is a totally imperfect set of real numbers, there is special Aronszajn tree with no continuous order preserving map into B.
Cite
@article{arxiv.1008.4739,
title = {Continuous Maps on Aronszajn Trees},
author = {Kenneth Kunen and Jean A. Larson and Juris Steprāns},
journal= {arXiv preprint arXiv:1008.4739},
year = {2010}
}
Comments
6 pages