General topology

Countably generated space

In mathematics, a topological space is called countably generated if the topology of is determined by the countable sets in a similar way as the topology of a sequential space (or a Fréchet space) is determined by the convergent sequences. The countably generated spaces are precisely the spaces having countable tightness—therefore the name countably tight is used as well. (Wikipedia).

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Related pages

Quotient space (topology) | Topological space | Category of topological spaces | Fréchet space | Mathematics | Sequential space | Metrizable space | Arens–Fort space