Algebraic mapping cone
From Manifold Atlas
Definition
Let be a map of chain complexes. Define the algebraic mapping cone of as a chain complex given in degree by
with differential
Every book on homological algebra contains this definition, except for the sign conventions in the differentials! For example, it is possible to have
A good source is for example [Weibel1994].
References
- [Weibel1994] C. A. Weibel, An introduction to homological algebra, Cambridge University Press, 1994. MR1269324 (95f:18001) Zbl 0834.18001