Countable Toronto spaces
一般拓扑
2007-05-23 v1 逻辑
摘要
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.
引用
@article{arxiv.math/9902071,
title = {Countable Toronto spaces},
author = {Gary Gruenhage and J. Tatch Moore},
journal= {arXiv preprint arXiv:math/9902071},
year = {2007}
}
备注
17 pages