One Dimensional Locally Connected S-spaces
General Topology
2007-10-08 v1
Abstract
We construct, assuming Jensen's principle diamond, a one-dimensional locally connected hereditarily separable continuum without convergent sequences. The construction is an inverse limit in omega_1 steps, and is patterned after the original Fedorchuk construction of a compact S-space. To make it one-dimensional, each space in the inverse limit is a copy of the Menger sponge.
Cite
@article{arxiv.0710.1085,
title = {One Dimensional Locally Connected S-spaces},
author = {Joan E. Hart Kenneth Kunen},
journal= {arXiv preprint arXiv:0710.1085},
year = {2007}
}
Comments
13 pages