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单词 quotient map
释义
quotient map
  • 简明释义
  • 商映射:在拓扑学和代数拓扑学中,商映射是一种从一个拓扑空间到另一个拓扑空间的连续映射,它将前者的某些点等价地映射到后者的点。
  • 网络释义
  • 1

    [数]?商映射

    分解是连续的,当且仅当X到这个分解空间上对应的商映射(quotient maPPing)是闭的.空间X到空间Y上的连续映射f:X~Y是闭的,当且仅当X的分解妙一毛fl(y):y“Y}是连续的.

短语
  • 双语例句
  • 1
    In this paper, we introduce the concept of compact quotient mapping and compact quotient topology, discuss systematically their basic properties and establish some interesting results.
    引进了紧商映射与紧商拓扑的概念,系统地讨论了它们的性质,得到若干有趣的结果。
  • 2
    So studying continuous and homeomorphism on the mapping of quotient Spaces plays the vital role to study their nature and we may obtain the very good conclusion and the application of it.
    通过研究商空间之间映射的连续性和同胚性对于研究它们的性质有很重要的作用,所得结论可以得到更好应用。
  • 3
    It is also shown that: 1-sequentially quotient, compact mapping is 1-sequentially covering mappings.
    此外本文还证明了度量空间上的1 -序列商,紧映射是1 -序列覆盖映射。
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更新时间:2025/3/17 16:42:51