second countability is hereditary
Suppose is a second countable topological space
and is a
subset in . Then (when equipped with the subspace topology)
is also second countable.
| Title | second countability is hereditary |
|---|---|
| Canonical name | SecondCountabilityIsHereditary |
| Date of creation | 2013-03-22 15:22:45 |
| Last modified on | 2013-03-22 15:22:45 |
| Owner | matte (1858) |
| Last modified by | matte (1858) |
| Numerical id | 4 |
| Author | matte (1858) |
| Entry type | Theorem |
| Classification | msc 54D70 |