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eulerCharacteristic -- The Euler characteristic of a complex.

Description

The Euler characteristic of C. This is printed always when printing a complex and the faces are known.

i1 : R=QQ[x_0..x_5];
 
i2 : C=fullCyclicPolytope(3,R);
 
i3 : fvector C

o3 = {1, 6, 12, 8, 1}

o3 : List
 
i4 : eulerCharacteristic C

o4 = 0
 
i5 : dC=boundaryOfPolytope(C);
 
i6 : fvector dC

o6 = {1, 6, 12, 8, 0}

o6 : List
 
i7 : eulerCharacteristic dC

o7 = 1

See also

Ways to use eulerCharacteristic:

  • eulerCharacteristic(Complex)
  • eulerCharacteristic(List)

For the programmer

The object eulerCharacteristic is a method function.

The source of this document is in /__w/M2/M2/macaulay2-1.26.05+ds/M2/Macaulay2/packages/SRdeformations.m2:6339:0.