The Euler characteristic

  • Edwin E. Moise
Part of the Graduate Texts in Mathematics book series (GTM, volume 47)


Let K be a finite complex, of dimension ⩽ 2. The Euler characteristic of K is the alternating sum
$$x\left( K \right) = V - E + F,$$
where V, E, and F are respectively the number of vertices, edges, and 2-faces of K.


Projective Plane Euler Characteristic Klein Bottle Connected Neighborhood Finite Complex 
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Copyright information

© Springer Science+Business Media New York 1977

Authors and Affiliations

  • Edwin E. Moise
    • 1
  1. 1.Department of MathematicsQueens College, CUNYFlushingUSA

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