2 comments on “A hat game 2

  1. Pingback: Richard Elwes – A hat game 1

  2. Results of Di Prisco-Todorcevic, Shelah-Zapletal and myself (in my case “A Choice function on countable set, from determinacy”) show that adding an ultrafilter generically via P(omega)/Fin over a suitable model of determinacy does not add an E_0-selector. So 3 does not imply 1 (and therefore 2 also does no imply 1). I would imagine also that 1 does not imply 3, but as far as I know that is open.

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