proper map
Definition
Suppose X and Y are topological spaces
, and f is a map f:X→Y.
Then f is a proper map if the inverse image of every compact
subset in Y of is a compact set in X.
| Title | proper map |
|---|---|
| Canonical name | ProperMap |
| Date of creation | 2013-03-22 13:59:49 |
| Last modified on | 2013-03-22 13:59:49 |
| Owner | matte (1858) |
| Last modified by | matte (1858) |
| Numerical id | 6 |
| Author | matte (1858) |
| Entry type | Definition |
| Classification | msc 54C10 |
| Classification | msc 54-00 |
| Related topic | PolynomialFunctionIsAProperMap |