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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A coherent family of partial functions on $\mathbb {N}$

Author: Ilijas Farah
Journal: Proc. Amer. Math. Soc. 124 (1996), 2845-2852
MSC (1991): Primary 03C80, 03E40, 04A20
MathSciNet review: 1327009
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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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Additional Information

Ilijas Farah
Affiliation: Department of Mathematics, University of Toronto, Toronto, Canada M5S 3G3; Matematički Institut, Knez-Mihajlova 35, Beograd, Yugoslavia

PII: S 0002-9939(96)03338-2
Received by editor(s): June 20, 1994
Received by editor(s) in revised form: March 20, 1995
Additional Notes: Research supported by the Science Fund of Serbia grant number 0401A
Communicated by: Andreas R. Blass
Article copyright: © Copyright 1996 American Mathematical Society