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Here is a generalization of n-ary base notation for numbers. Surely unoriginal. Anybody know where to find literature on it?

If $f:\mathbb{N}\to\mathbb{N}$ is any strictly increasing function with $f(0)=1$, define the base $f$ notation for natural numbers inductively as follows: $0$ is represented as $ …
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Descriptive complexity of Hamel bases of R^ω

(base theory = ZFC) Are any Hamel bases for the vector space $\mathbb{R}^{\omega}$ in the 1. analytical hierarchy?2. projective hierarchy? In any of the above cases where the …