Countable Toronto spaces

Details Countable Toronto spaces Countable Toronto spaces

1999-02-11

arxiv.org/abs/math/9902071v1

Mathematics

General Topology

17 pages

Scientific paper

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

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