On Compact Separable Radial Spaces
Canadian mathematical bulletin, Tome 40 (1997) no. 4, pp. 422-432
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If A and B are disjoint ideals on ω, there is a tower preserving σ-centered forcing which introduces a subset of ω which meets every infinite member of A in an infinite set and is almost disjoint fromeverymember of B. We can then produce a model in which all compact separable radial spaces are Fréchet, thus answering a question of P. Nyikos. The question of the existence of compact ccc radial spaces which are not Fréchet was first asked by Chertanov (see [Arh78]).
Dow, Alan. On Compact Separable Radial Spaces. Canadian mathematical bulletin, Tome 40 (1997) no. 4, pp. 422-432. doi: 10.4153/CMB-1997-050-0
@article{10_4153_CMB_1997_050_0,
author = {Dow, Alan},
title = {On {Compact} {Separable} {Radial} {Spaces}},
journal = {Canadian mathematical bulletin},
pages = {422--432},
year = {1997},
volume = {40},
number = {4},
doi = {10.4153/CMB-1997-050-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1997-050-0/}
}
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