Development (topology)

（重定向自Developable space）

In the mathematical field of topology, a development is a countable collection of open covers of a topological space that satisfies certain separation axioms.

Let $X$ be a topological space. A development for $X$ is a countable collection $F_1, F_2, \ldots$ of open coverings of $X$ , such that for any closed subset $C \subset X$ and any point $p$ in the complement of $C$ , there exists a cover $F_j$ such that no element of $F_j$ which contains $p$ intersects $C$ . A space with a development is called developable.

单词	Developable space
释义	Developable space 英语百科 Development (topology) （重定向自Developable space） In the mathematical field of topology, a development is a countable collection of open covers of a topological space that satisfies certain separation axioms. Let $X$ be a topological space. A development for $X$ is a countable collection $F_1, F_2, \ldots$ of open coverings of $X$ , such that for any closed subset $C \subset X$ and any point $p$ in the complement of $C$ , there exists a cover $F_j$ such that no element of $F_j$ which contains $p$ intersects $C$ . A space with a development is called developable.
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