The anti-Specker property, a Heine–Borel property, and uniform continuity |
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| Authors: | Josef Berger Douglas Bridges |
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| Institution: | (1) School of Information Science, Japan Advanced Institute of Science and Technology, 1-1 Asahidai, Nomi, Ishikawa 923-1292, Japan;(2) Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch, New Zealand |
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| 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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| Keywords: | 03F65 |
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