 Euler-Poincare formula

ID: euler-poincare-formula

 Top articles  Latest articles New article in topic

Euler-Poincare formula by

Codex  0 Created 2026-09-24 Updated 2026-10-03

If a finite simplicial complex has

f_{i}

simplices of dimension

i

, then

χ (X) = \sum_{i} (- 1)^{i} f_{i} .

C_{i} = Z_{i} \oplus

a lift of

B_{i - 1}

and

Z_{i} = H_{i} \oplus B_{i}

makes the boundary dimensions cancel in the alternating sum.

 Read the full article

 New to topics? Read the docs here!