Countably generated
Encyclopedia
In mathematics, the term countably generated can have several meanings:
- An algebraic structure (group, module, algebra) having countably many generators, see generating set (disambiguation)
- Countably generated spaceCountably generated spaceIn mathematics, a topological space X is called countably generated if the topology of X is determined by the countable sets in a similar way as the topology of a sequential space by the convergent sequences....
, a topological space in which the topology is determined by its countable subsets