Cantor's function notation ambiguity.

[trail depot]

I don't really get what this means in this context :

[coral raven]

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[trail depot]

We define $G_{mi}$ to be the i-th open interval removed from $[0,1]$ in the m-th step via the cantor set construction

[still gull]

Coffey

[trail depot]

but what is $\bigcup_{m, i} G_{mi}$ mean

[still gull]

Coffey

[trail depot]

Is it $\bigcup_{m, i} G_{mi} = [0,1]\setminus \mathcal{C}$

[still gull]

Coffey

[trail depot]

C being the cantor set

yeah

[wraith nova]

I think it means $\bigcup_{m} \left( \bigcup_{i} G_{m,i} \right)$

[still gull]

Djake3tooth

[wraith nova]

And yes, it's the cantor set

[trail depot]

+close