homological complex of topological vector spaces
Definition 0.1.
A homological complex of topological vector spaces is a pair , where is a sequence of topological vector spaces and is a sequence of continuous linear maps from into which satisfy .
Remarks
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The homological complex of topological vector spaces is a specifc example of a chain complex.
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A sequence of -modules and their homomorphisms is said to be a -complex.
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 |