Form equivalence class Howard-Rubin Number: 106
Statement:
For every compact \(T_2\) space \((X,T)\) and every family \(D=\{\, D_i : i\in\omega\,\}\) of dense open sets of \(X\) there is a regular filter base \(\cal F \subseteq T\) (that is, if \(F,G\in \cal F\), then there exists \(Q\in \cal F\) such that \(\overline{Q}\subseteq F\cap G\)) such that for all \(i\in\omega\), for all but finitely many \(F\in\cal F\), \(\overline{F}\subset D_i\).
Howard-Rubin number: 106 D
Citations (articles):
Fossy/Morillon [1998]
The Baire category property and some notions of compactness
Connections (notes):
References (books):
Back