Category:Cantor Space

From ProofWiki
Jump to: navigation, search

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.