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  1. Unbounded and dominating reals in Hechler extensions.Justin Palumbo - 2013 - Journal of Symbolic Logic 78 (1):275-289.
    We give results exploring the relationship between dominating and unbounded reals in Hechler extensions, as well as the relationships among the extensions themselves. We show that in the standard Hechler extension there is an unbounded real which is dominated by every dominating real, but that this fails to hold in the tree Hechler extension. We prove a representation theorem for dominating reals in the standard Hechler extension: every dominating real eventually dominates a sandwich composition of the Hechler real with two (...)
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