UNUSUAL FORMULAE FOR THE EULER CHARACTERISTIC

UNUSUAL FORMULAE FOR THE EULER CHARACTERISTIC
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欧拉特性的不寻常公式

DOI:
10.1142/s0218216502001974
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发表时间:
2002
影响因子:
0.5
通讯作者:
J. Roberts
J. Roberts
中科院分区:
数学4区
文献类型:
--
作者:
J. Roberts

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每个人都知道组合流形的欧拉特性是由它的单形数的交替和给出的。证明了还有其他的单纯数的线性组合是组合不变量,但所有这些不变量都是欧拉特征的倍数。
Everyone knows that the Euler characteristic of a combinatorial manifold is given by the alternating sum of its numbers of simplices. It is shown that there are other linear combinations of the numbers of simplices which are combinatorial invariants, but that all such invariants are multiples of the Euler characteristic.