初拓扑 Initial topology

（重定向自Projective topology）

在一般拓扑学与数学的相关领域中，给定集合 $X$ 与集合 $X$ 上的一族函数，其初拓扑（the initial topology）是使得这一族函数连续的最粗的拓扑。

拓扑子空间与乘积空间都是初拓扑的特殊情况，事实上初拓扑可以看作这两种结构的推广。

与初拓扑对偶的结构是终拓扑。

单词	Projective topology
释义	Projective topology 中文百科初拓扑 Initial topology （重定向自Projective topology）在一般拓扑学与数学的相关领域中，给定集合 $X$ 与集合 $X$ 上的一族函数，其初拓扑（the initial topology）是使得这一族函数连续的最粗的拓扑。拓扑子空间与乘积空间都是初拓扑的特殊情况，事实上初拓扑可以看作这两种结构的推广。与初拓扑对偶的结构是终拓扑。英语百科 Initial topology 初拓扑（重定向自Projective topology） In general topology and related areas of mathematics, the initial topology (or weak topology or limit topology or projective topology) on a set $X$ , with respect to a family of functions on $X$ , is the coarsest topology on X that makes those functions continuous.
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Projective topology