Algebraic mapping cone
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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. 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