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Totally proper forcing and the Moore–Mrówka problem

Tom 177 / 2003

Fundamenta Mathematicae 177(2003), 121-137 MSC: Primary 03E75. DOI: 10.4064/fm177-2-2

Streszczenie

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 ${\rm ZFC}+{\rm CH}$ 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.

Autorzy

• Todd EisworthDepartment of Mathematics
University of Northern Iowa
Cedar Falls, IA 50614, U.S.A.
e-mail

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