Category:Cantor Space

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This category contains results about the Cantor space.

Let $\mathcal C$ be the Cantor set.

Let $\tau_d$ be the Euclidean topology on $\R$.

Then since $\mathcal C \subseteq \R$, we can endow $\mathcal C$ with the subspace topology $\tau_{\mathcal C}$.

The topological space $\left({\mathcal C, \tau_{\mathcal C}}\right)$ is referred to as the Cantor space.