Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CMB
Abstract view

# On compact separable radial spaces

 Read article[PDF: 99KB]
Published:1997-12-01
Printed: Dec 1997
• Alan Dow
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

If ${\cal A}$ and ${\cal B}$ are disjoint ideals on $\omega$, there is a {\it tower preserving\/} $\sigma$-centered forcing which introduces a subset of $\omega$ which meets every infinite member of ${\cal A}$ in an infinite set and is almost disjoint from every member of ${\cal B}$. We can then produce a model in which all compact separable radial spaces are Fr\'echet, thus answering a question of P.~Nyikos. The question of the existence of compact ccc radial spaces which are not Fr\'echet was first asked by Chertanov (see \cite{Ar78}).
 MSC Classifications: 54D30 - Compactness

 top of page | contact us | privacy | site map |

© Canadian Mathematical Society, 2017 : https://cms.math.ca/