PP-2009-13: Eventually Different Functions and Inaccessible Cardinals

PP-2009-13: Brendle, Jörg and Löwe, Benedikt (2009) Eventually Different Functions and Inaccessible Cardinals. [Report]

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Abstract

We prove that the statement "All Sigma-1-2 sets of reals have the Baire property in the eventually different topology" is equivalent to "omega-1 is inaccessible by reals". We determine the strength of the statement "All Delta-1-2 sets of reals have the Baire property in the eventually different topology" in terms of implications and non-implications from typical regularity property statements.

Item Type: Report
Report Nr: PP-2009-13
Series Name: Prepublication (PP) Series
Year: 2009
Uncontrolled Keywords: eventually different forcing; eventually different topology; inaccessible cardinals; set theory of the reals; forcing
Depositing User: Benedikt
Date Deposited: 12 Oct 2016 14:37
Last Modified: 12 Oct 2016 14:37
URI: https://eprints.illc.uva.nl/id/eprint/343

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