Countable Toronto spaces
Gruenhage, Gary ; Moore, J.
Fundamenta Mathematicae, Tome 163 (2000), p. 143-162 / Harvested from The Polish Digital Mathematics Library
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A space X is called an α-Toronto space if X is scattered of Cantor-Bendixson rank α and is homeomorphic to each of its subspaces of the same rank. We answer a question of Steprāns by constructing a countable α-Toronto space for each α ≤ ω. We also construct consistent examples of countable α-Toronto spaces for each α<ω1.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:212435 
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     title = {Countable Toronto spaces},
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     year = {2000},
     pages = {143-162},
     zbl = {0958.54041},
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Gruenhage, Gary; Moore, J. Countable Toronto spaces. Fundamenta Mathematicae, Tome 163 (2000) pp. 143-162. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv163i2p143bwm/

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