Skip to content
Euler characteristic

File:Vertex_edge_face.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ852973· pop 42· linked from 548 articles

Euler characteristic

Sign in to save

Also known as Euler-Poincaré characteristic

topological invariant in mathematics

~21 min read

Encyclopedic overview

In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent. It is commonly denoted by

χ

Excerpted from Wikipedia’s “Euler characteristic” article, available under the CC BY-SA 4.0 licence.

Gallery (12)