Consider the germs of continuous functions about some real number; say 0 for simplicity. Is there a nice way of quantifying the germs, in the sense of putting them into a bijection with a simpler set? I feel there should be a continuum of germs, but I'd be interested in something more explicit. Bonus points for constructing good representatives for the equivalence classes defining the germs, but I really doubt that's possible. Thanks.
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