Countable Toronto spaces
Fundamenta Mathematicae (2000)
- Volume: 163, Issue: 2, page 143-162
- ISSN: 0016-2736
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topGruenhage, Gary, and Moore, J.. "Countable Toronto spaces." Fundamenta Mathematicae 163.2 (2000): 143-162. <http://eudml.org/doc/212435>.
@article{Gruenhage2000,
abstract = {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 $α < ω_1$.},
author = {Gruenhage, Gary, Moore, J.},
journal = {Fundamenta Mathematicae},
language = {eng},
number = {2},
pages = {143-162},
title = {Countable Toronto spaces},
url = {http://eudml.org/doc/212435},
volume = {163},
year = {2000},
}
TY - JOUR
AU - Gruenhage, Gary
AU - Moore, J.
TI - Countable Toronto spaces
JO - Fundamenta Mathematicae
PY - 2000
VL - 163
IS - 2
SP - 143
EP - 162
AB - 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 $α < ω_1$.
LA - eng
UR - http://eudml.org/doc/212435
ER -
References
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- [Ku] K. Kunen, Set Theory, North-Holland, Amsterdam, 1980.
- [S] J. Steprāns, Steprāns' problems, in: Open Problems in Topology, J. van Mill and G. M. Reed (eds.), North-Holland, Amsterdam, 1990, 13-20.
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