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I ended up giving Baire space (computability) its (minimal) stand-alone entry after all
This can probably be merged with: Kleene’s second algebra
I wouldn’t quite merge the entry with “Kleene’s second algebra”, as that is the Baire space equipped with a good bit of extra structure. But we should eventually better interlock what is at Baire space (computability) and what is at irrational number. That of course is currently to some extent explained at Kleene’s second algebra, true.
Far from merging it with Kleene's algebra, this space is used for more than computability theory. I moved the title to the more neutral Baire space of sequences (and added further redirects).
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