Exact Sequence
★★★★☆Undergraduate
📖Definition
Sequence of maps where image at each position equals kernel of next map
📐Formulas
...→ A →^f B →^g C →...
im f = ker g
Short exact: 0 → A → B → C → 0
✏️Examples
예제 1
0 → ℤ →^{×2} ℤ → ℤ/2ℤ → 0
예제 2
Split exact sequence
⚡Applications
Extension problems
Homology
Algebraic K-theory
🔗Related Documents
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