Totally proper forcing and the Moore-Mrówka problem

• Autorzy: Todd Eisworth
• Języki publikacji: EN

Abstrakty

EN

We describe a totally proper notion of forcing that can be used to shoot uncountable free sequences through certain countably compact non-compact spaces. This is almost (but not quite!) enough to produce a model of ZFC + CH in which countably tight compact spaces are sequential-we still do not know if the notion of forcing described in the paper can be iterated without adding reals.

Kategorie tematyczne

• 03E75: Applications of set theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 177
• Numer: 2
• Strony: 121-137

Daty

wydano

2003

Twórcy

autor

Todd Eisworth

• Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, U.S.A.

Identyfikatory

DOI

10.4064/fm177-2-2