请输入您要查询的字词:

 

单词 Irreducible1
释义

irreducible


A subset F of a topological spaceMathworldPlanetmath X is reducible if it can be written as a union F=F1F2 of two closed proper subsetsMathworldPlanetmathPlanetmath F1, F2 of F (closed in the subspace topology). That is, F is reducible if it can be written as a union F=(G1F)(G2F) where G1,G2 are closed subsets of X, neither of which contains F.

A subset of a topological space is irreducible (or hyperconnected) if it is not reducible.

As an example, consider {(x,y)2:xy=0} with the subspace topology from 2. This space is a union of two lines {(x,y)2:x=0} and {(x,y)2:y=0}, which are proper closed subsets. So this space is reducible, and thus not irreducible.

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 10:14:32