V2EX pushout

Pushout

释义 Definition

pushout(名词):并合/推出(构造)。在数学(尤其是范畴论、代数拓扑)中,指把两个对象沿着一个共同部分“粘合”在一起所得到的新对象(常称为“推出”或“并合”的结果)。在教育领域里也可指把学生从特殊教育支持转入普通课堂的融合安置(push-out)等用法(语境不同,含义会变)。

发音 Pronunciation

/p.at/

例句 Examples

A pushout glues two spaces along a shared subspace.
推出(pushout)会把两个空间沿着共同的子空间粘合起来。

In category theory, the pushout is defined by a universal property and is often drawn as a commutative square.
在范畴论中,推出(pushout)由泛性质定义,常用一个交换方块图来表示。

词源 Etymology

push(推)+ out(向外)构成,字面含义是“向外推出”。在数学里,它形象地表达了:从共同部分出发,把结构“推”到外部并合成一个更大的对象;对应的对偶概念常见为 pullback(拉回)。

相关词 Related Words

文学与经典著作 Literary Works

  • Categories for the Working Mathematician(Saunders Mac Lane)
  • Sheaves in Geometry and Logic(Saunders Mac Lane & Ieke Moerdijk)
  • Higher Topos Theory(Jacob Lurie)
  • Algebraic Topology(Allen Hatcher)
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