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A continuity principle, a version of Baire's theorem and a boundedness principle
Journal of Symbolic Logic 73 (4):1354-1360 (2008)
Abstract
We deal with a restricted form WC-N' of the weak continuity principle, a version BT' of Baire's theorem, and a boundedness principle BD-N. We show, in the spirit of constructive reverse mathematics, that WC-N'. BT' + ¬LPO and BD-N + ¬LPO are equivalent in a constructive system, where LPO is the limited principle of omniscienceAuthor's Profile
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References found in this work
Equivalents of the (weak) fan theorem.Iris Loeb - 2005 - Annals of Pure and Applied Logic 132 (1):51-66.
Strong continuity implies uniform sequential continuity.Douglas Bridges, Hajime Ishihara, Peter Schuster & Luminiţa Vîţa - 2005 - Archive for Mathematical Logic 44 (7):887-895.
The continuum as a formal space.Sara Negri & Daniele Soravia - 1999 - Archive for Mathematical Logic 38 (7):423-447.
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