point-finite
A collection
of subsets of a topological space
is said to be point-finite if every point of lies in only finitely many members of .
Compare this to the stronger property of being locally finite.
Point-finiteness is used in the definition of metacompactness.
| Title | point-finite |
| Canonical name | Pointfinite |
| Date of creation | 2013-03-22 16:17:02 |
| Last modified on | 2013-03-22 16:17:02 |
| Owner | yark (2760) |
| Last modified by | yark (2760) |
| Numerical id | 5 |
| Author | yark (2760) |
| Entry type | Definition |
| Classification | msc 54A99 |
| Synonym | point finite |
| Related topic | LocallyFinite |
| Related topic | Metacompact |
| Defines | point finite collection |
| Defines | point-finite collection |
| Defines | point finiteness |
| Defines | point-finiteness |