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A Bizarre Property Equivalent To The -fan Theorem
Logic Journal of the IGPL 14 (6):867-871 (2006)
Abstract
It is shown, with intuitionistic logic, that if every locally constant function from to has a property akin to constancy, then the fan theorem for -bars holds, and conversely.Other Versions
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Citations of this work
Sequences of real functions on [0, 1] in constructive reverse mathematics.Hannes Diener & Iris Loeb - 2009 - Annals of Pure and Applied Logic 157 (1):50-61.
Lipschitz functions in constructive reverse mathematics.I. Loeb - 2013 - Logic Journal of the IGPL 21 (1):28-43.
A continuity principle equivalent to the monotone $$Pi ^{0}_{1}$$ fan theorem.Tatsuji Kawai - 2019 - Archive for Mathematical Logic 58 (3-4):443-456.
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