Geodesic
Totally proper forcing and the Moore–Mrówka problem
Todd Eisworth 1
1 Department of Mathematics University of Northern Iowa Cedar Falls, IA 50614, U.S.A.
Fundamenta Mathematicae, Tome 177 (2003) no. 2, pp. 121-137 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm177-2-2
Keywords: describe totally proper notion forcing shoot uncountable sequences through certain countably compact non compact spaces almost quite enough produce model zfc which countably tight compact spaces sequential still know notion forcing described paper iterated without adding reals

Todd Eisworth  1

1 Department of Mathematics University of Northern Iowa Cedar Falls, IA 50614, U.S.A. 
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Todd Eisworth. Totally proper forcing and the Moore–Mrówka problem. Fundamenta Mathematicae, Tome 177 (2003) no. 2, pp. 121-137. doi: 10.4064/fm177-2-2

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