Abstract
Working within Bishop’s constructive framework, we examine the connection between a weak version of the Heine–Borel property, a property antithetical to that in Specker’s theorem in recursive analysis, and the uniform continuity theorem for integer-valued functions. The paper is a contribution to the ongoing programme of constructive reverse mathematics.
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Berger, J., Bridges, D. The anti-Specker property, a Heine–Borel property, and uniform continuity. Arch. Math. Logic 46, 583–592 (2008). https://doi.org/10.1007/s00153-007-0063-1
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DOI: https://doi.org/10.1007/s00153-007-0063-1