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Reclassifying the antithesis of Specker’s theorem

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Abstract

It is shown that a principle, which can be seen as a constructivised version of sequential compactness, is equivalent to a form of Brouwer’s fan theorem. The complexity of the latter depends on the geometry of the spaces involved in the former.

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  1. Fakultät IV: Mathematik, Universität Siegen, Emmy-Noether-Campus, Walter-Flex-Str. 3, 57068, Siegen, Germany

    Hannes Diener

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  1. Hannes Diener
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Diener, H. Reclassifying the antithesis of Specker’s theorem. Arch. Math. Logic 51, 687–693 (2012). https://doi.org/10.1007/s00153-012-0292-9

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  • DOI: https://doi.org/10.1007/s00153-012-0292-9

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