First Countable Continua and Proper Forcing
General Topology
2007-05-23 v1 Logic
Abstract
Assuming the Continuum Hypothesis, there is a compact first countable connected space of weight aleph_1 with no totally disconnected perfect subsets. Each such space, however, may be destroyed by some proper forcing order which does not add reals.
Keywords
Cite
@article{arxiv.math/0608035,
title = {First Countable Continua and Proper Forcing},
author = {Joan E. Hart and Kenneth Kunen},
journal= {arXiv preprint arXiv:math/0608035},
year = {2007}
}