### Determinateness in the low protective hierarchy

Harvey Friedman (1971)

Fundamenta Mathematicae

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Harvey Friedman (1971)

Fundamenta Mathematicae

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Donald Matrin (1970)

Fundamenta Mathematicae

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Krzysztof Ciesielski (1983)

Fundamenta Mathematicae

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James Henle (1981)

Fundamenta Mathematicae

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Peg Daniels, Kenneth Kunen, Haoxuan Zhou (1994)

Fundamenta Mathematicae

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We modify a game due to Berner and Juhász to get what we call “the open-open game (of length ω)”: a round consists of player I choosing a nonempty open subset of a space X and II choosing a nonempty open subset of I’s choice; I wins if the union of II’s open sets is dense in X, otherwise II wins. This game is of interest for ccc spaces. It can be translated into a game on partial orders (trees and Boolean algebras, for example). We present basic results and various conditions under which...

Kruczek, Klay, Sundberg, Eric (2010)

The Electronic Journal of Combinatorics [electronic only]

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Zofia Adamowicz (1984)

Fundamenta Mathematicae

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Kane, Daniel M. (2010)

Integers

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Martin, D.A. (2003)

Rendiconti del Seminario Matematico

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Larsson, Urban (2009)

Integers

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Andreas Blass (1972)

Fundamenta Mathematicae

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