| 11. | By applying Pontryagin duality, one can see that abelian profinite groups are in duality with locally finite discrete abelian groups.
|
| 12. | If a collection of sets is locally finite, the collection of all closures of these sets is also locally finite.
|
| 13. | If a collection of sets is locally finite, the collection of all closures of these sets is also locally finite.
|
| 14. | A ?-locally finite base is a base which is a union of countably many locally finite collections of open sets.
|
| 15. | A ?-locally finite base is a base which is a union of countably many locally finite collections of open sets.
|
| 16. | For example, a poset is "'locally finite "'if every closed Euler characteristic of finite bounded posets.
|
| 17. | For graphs that may not be locally finite, it is still possible to define a topological space from the graph and its ends.
|
| 18. | It states that a topological space is metrizable if and only if it is regular, Hausdorff and has a ?-locally finite base.
|
| 19. | *PM : uniformly locally finite graph, id = 8050 new !-- WP guess : uniformly locally finite graph-- Status:
|
| 20. | *PM : uniformly locally finite graph, id = 8050 new !-- WP guess : uniformly locally finite graph-- Status:
|
