Countable Toronto spaces

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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.
17 pages

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General Topology, Logic, 54

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http://salesiana.dossiersoluciones.com/handle/123456789/78090

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9902071
 http://arxiv.org/abs/math/9902071

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arXiv