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An injection from the Baire space to natural numbers

Published online by Cambridge University Press:  10 November 2014

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

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 25 , Special Issue 7: Computing with Infinite Data: Topological and Logical Foundations Part 1 , October 2015 , pp. 1484 - 1489
Copyright
Copyright © Cambridge University Press 2014 

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References

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