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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