Cantor space
The Cantor space, denoted by is the set of all infinite
binary sequences with the product topology. It is a perfect Polish space
. It is a compact
subspace
of the Baire space
, the set of all infinite sequences of integers (again with the natural product topology).
-
•
Moschovakis, Yiannis N. Descriptive Set Theory. North-Holland Pub. Co. 1980, Amsterdam; New York.
| Title | Cantor space |
|---|---|
| Canonical name | CantorSpace |
| Date of creation | 2013-03-22 13:44:42 |
| Last modified on | 2013-03-22 13:44:42 |
| Owner | mathcam (2727) |
| Last modified by | mathcam (2727) |
| Numerical id | 14 |
| Author | mathcam (2727) |
| Entry type | Definition |
| Classification | msc 54E50 |