The way I view it, germs of analytic functions are like

• tails of infinite binary sequences, or
• real numbers up to rational translation.

Finding "coordinates" on the space of germs would be like finding an explicit Vitali set.

Possible using the Axiom of Choice, but not in any explicit way.

The way I view it, germs of continuous functions are like

• tails of infinite binary sequences, or
• real numbers up to rational translation.

Finding "coordinates" on the space of germs would be like finding an explicit Vitali set.

Possible using the Axiom of Choice, but not in any explicit way.