Definition:Chain Complex/Visualization

Chain Complex: Visualization

A chain complex can be visualized as a diagram:

$\cdots \longrightarrow C_{i + 1} \stackrel {d_{i + 1} } \longrightarrow C_i \stackrel {d_i} \longrightarrow C_{i - 1} \stackrel {d_{i - 1} } \longrightarrow C_{i - 2} \longrightarrow \cdots$

Sources

• 1994: Charles Weibel: An Introduction to Homological Algebra: Definition $1.1.1.$