请输入您要查询的字词:

 

单词 HomologicalComplexOfTopologicalVectorSpaces
释义

homological complex of topological vector spaces


Definition 0.1.

A homological complex of topological vector spaces is a pair (E,d),where E=(Eq)qZ is a sequence of topological vector spaces andd=(dq)qZ is a sequence of continuous linear maps dq from Eq+1into Eq which satisfy dqdq+1=0.

Remarks

  • The homological complex of topological vector spaces is a specifc example of a chain complexMathworldPlanetmath.

  • A sequence of R-modules and their homomorphismsMathworldPlanetmathPlanetmath is said to be a R-complex.

Titlehomological complex of topological vector spaces
Canonical nameHomologicalComplexOfTopologicalVectorSpaces
Date of creation2013-03-22 18:17:24
Last modified on2013-03-22 18:17:24
Ownerbci1 (20947)
Last modified bybci1 (20947)
Numerical id15
Authorbci1 (20947)
Entry typeDefinition
Classificationmsc 55N25
Classificationmsc 55N99
Classificationmsc 55R65
Classificationmsc 55P99
SynonymChainComplex
Related topicChainComplex
Related topicCategoricalSequence
Related topicExactSequence
Related topicTangentialCauchyRiemannComplexOfCinftySmoothForms
Related topicHomolgyOfMathbbRP3
Related topicCohomologicalComplexOfTopologicalVectorSpaces
Related topicACRcomplex
Defineshomological complex of topological vector spaces
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 1:33:33