Part of the Graduate Texts in Mathematics book series (GTM, volume 47)
The Euler characteristic
Let K be a finite complex, of dimension ⩽ 2. The Euler characteristic of K is the alternating sum
where V, E, and F are respectively the number of vertices, edges, and 2-faces of K.
$$x\left( K \right) = V - E + F,$$
KeywordsProjective Plane Euler Characteristic Klein Bottle Connected Neighborhood Finite Complex
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 1977