Forcing tightness in products of fans
Fundamenta Mathematicae, Tome 150 (1996) no. 3, pp. 211-226
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We prove two theorems that characterize tightness in certain products of fans in terms of families of integer-valued functions. We also define several notions of forcing that allow us to manipulate the structure of the set of functions from some cardinal θ to ω, and hence, the tightness of these products. These results give new constructions of first countable that are not ≤θ-cwH.
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Jörg Brendle; Tim  LaBerge. Forcing tightness in products of fans. Fundamenta Mathematicae, Tome 150 (1996) no. 3, pp. 211-226. doi: 10.4064/fm-150-3-211-226

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