Countable Toronto spaces
General Topology
2007-05-23 v1 Logic
Abstract
A space X is called an alpha-Toronto space if X is scattered of Cantor-Bendixson rank alpha and is homeomorphic to each of its subspaces of same rank. We answer a question of Steprans by constructing a countable alpha-Toronto space for each alpha<=omega. We also construct consistent examples of countable alpha-Toronto spaces for each alpha<omega_1.
Keywords
Cite
@article{arxiv.math/9902071,
title = {Countable Toronto spaces},
author = {Gary Gruenhage and J. Tatch Moore},
journal= {arXiv preprint arXiv:math/9902071},
year = {2007}
}
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17 pages