| dbo:abstract |
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. (en) En mathématiques, un espace topologique est dit dénombrablement engendré si sa topologie est déterminée en fonction de ses parties dénombrables, de même que la topologie d'un espace séquentiel est déterminée par ses suites convergentes. Les espaces dénombrablement engendrés sont ceux dont l'étroitesse est dénombrable ; on les appelle donc aussi espaces dénombrablement étroits. (fr) 일반위상수학에서 가산 생성 공간(可算生成空間, 영어: countably generated space) 또는 가산 밀착 공간(可算密着空間, 영어: countably tight space)은 그 위상이 가산 부분 공간들에 의하여 결정되는 위상 공간이다. 이와 동치인 정의로서, 부분 집합의 폐포점이 항상 그 가산 부분 집합의 폐포점일 정도로 ‘지나치게 촘촘하지 않은’ 위상 공간이다. (ko) 在数学中，若X 的拓扑由可数集决定，决定方式与收敛序列决定或拓扑的方式相同，则称拓扑空间X 是可数生成的（countably generated）。 可数生成空间准确地说是具有可数胎紧性的空间，因此也可以形容为可数胎紧的。 (zh) |
| dbo:wikiPageExternalLink |
https://web.archive.org/web/20120204044336/https:/math.berkeley.edu/~apollo/topodefs.ps https://web.archive.org/web/20040917084107/http:/thales.doa.fmph.uniba.sk/density/pages/slides/sleziak/paper.pdf |
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dbc:General_topology |
| rdfs:comment |
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. (en) En mathématiques, un espace topologique est dit dénombrablement engendré si sa topologie est déterminée en fonction de ses parties dénombrables, de même que la topologie d'un espace séquentiel est déterminée par ses suites convergentes. Les espaces dénombrablement engendrés sont ceux dont l'étroitesse est dénombrable ; on les appelle donc aussi espaces dénombrablement étroits. (fr) 일반위상수학에서 가산 생성 공간(可算生成空間, 영어: countably generated space) 또는 가산 밀착 공간(可算密着空間, 영어: countably tight space)은 그 위상이 가산 부분 공간들에 의하여 결정되는 위상 공간이다. 이와 동치인 정의로서, 부분 집합의 폐포점이 항상 그 가산 부분 집합의 폐포점일 정도로 ‘지나치게 촘촘하지 않은’ 위상 공간이다. (ko) 在数学中，若X 的拓扑由可数集决定，决定方式与收敛序列决定或拓扑的方式相同，则称拓扑空间X 是可数生成的（countably generated）。 可数生成空间准确地说是具有可数胎紧性的空间，因此也可以形容为可数胎紧的。 (zh) |
| rdfs:label |
Countably generated space (en) Espace dénombrablement engendré (fr) 가산 생성 공간 (ko) 可数生成空间 (zh) |
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