Category:Cantor Space
Jump to navigation
Jump to search
This category contains results about the Cantor space.
Let $\CC$ be the Cantor set.
Let $\tau_d$ be the Euclidean topology on $\R$.
Then since $\CC \subseteq \R$, we can endow $\CC$ with the subspace topology $\tau_\CC$.
The topological space $\struct {\CC, \tau_\CC}$ is referred to as the Cantor space.
Subcategories
This category has only the following subcategory.
C
Pages in category "Cantor Space"
The following 15 pages are in this category, out of 15 total.
C
- Cantor Space as Countably Infinite Product
- Cantor Space is Compact
- Cantor Space is Complete Metric Space
- Cantor Space is Dense-in-itself
- Cantor Space is Meager in Closed Unit Interval
- Cantor Space is Non-Meager in Itself
- Cantor Space is not Extremally Disconnected
- Cantor Space is not Locally Connected
- Cantor Space is not Scattered
- Cantor Space is Nowhere Dense
- Cantor Space is Perfect
- Cantor Space is Second-Countable
- Cantor Space is Totally Separated
- Cantor Space satisfies all Separation Axioms