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An injection from the Baire space to natural numbers

Published online by Cambridge University Press:  10 November 2014

ANDREJ BAUER*
Affiliation:
Faculty of Mathematics and Physics, University of Ljubljana, Ljubljana, Slovenia Email: andrej.bauer@andrej.com

Abstract

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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