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An injection from the Baire space to natural numbers


We provide a realizability model based on infinite time Turing machines in which there is an injection from the internal Baire space, the object of infinite sequences of numbers, to the object of natural numbers.

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J. Hyland (1982) The effective topos. In: A. Troelstra and D. V. Dalen (eds.) The L.E.J. Brouwer Centenary Symposium, North Holland Publishing Company 165216.

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Mathematical Structures in Computer Science
  • ISSN: 0960-1295
  • EISSN: 1469-8072
  • URL: /core/journals/mathematical-structures-in-computer-science
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