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 and d=(dq)qZ is a sequence of continuous linear maps dq from Eq+1 into Eq which satisfy dqdq+1=0.

Remarks

Title homological complex of topological vector spaces
Canonical name HomologicalComplexOfTopologicalVectorSpaces
Date of creation 2013-03-22 18:17:24
Last modified on 2013-03-22 18:17:24
Owner bci1 (20947)
Last modified by bci1 (20947)
Numerical id 15
Author bci1 (20947)
Entry type Definition
Classification msc 55N25
Classification msc 55N99
Classification msc 55R65
Classification msc 55P99
Synonym ChainComplex
Related topic ChainComplex
Related topic CategoricalSequence
Related topic ExactSequence
Related topic TangentialCauchyRiemannComplexOfCinftySmoothForms
Related topic HomolgyOfMathbbRP3
Related topic CohomologicalComplexOfTopologicalVectorSpaces
Related topic ACRcomplex
Defines homological complex of topological vector spaces