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A coherent family of partial functions on

Authors:	Ilijas Farah

Institution:	Department of Mathematics, University of Toronto, Toronto, Canada M5S 3G3 - Matematicki Institut, Knez-Mihajlova 35, Beograd, Yugoslavia

Abstract:	We prove that there is a family of partial functions $f_\alpha :A_\alpha \to \alpha$ $(\alpha \to \omega _1,A_\alpha$ is a tower in $P(\omega )/\operatorname {Fin})$ such that every surjection $g:\omega _1\to \{0,1\}$ is associated to a cohomologically different Hausdorff gap (see Talayco). This improves a result of Talayco.

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