# Embedding the Baire space into natural numbers

- 06 December 2011
- Talks

A talk given at “Computation with Infinite Data: Logical and Topological Foundations” Dagstuhl seminar 11411. I describe a realizability model based on infinite-time Turing machines in which it is possible to embed the Baire space (infinite sequences of numbers) into the space of numbers.

Also see the post Constructive gem: an injection from Baire space to natural numbers for written notes on this topic.

**Video recording:** Embedding the Baire space into natural numbers

**How to comment on this blog:**At present comments are disabled because the relevant script died. If you comment on this post on Mastodon and mention

`andrejbauer@mathstodon.xyz`

, I will
gladly respond.
You are also welcome to contact me directly.