Localizable invariants of combinatorial manifolds and Euler characteristic

被引：0
作者：
Li Yu
机构：
[1] Nanjing University,Department of Mathematics and IMS
来源：
Archiv der Mathematik | 2014年 / 102卷
关键词：
57R05; 57R20; 57Q99; Combinatorial manifold; Localizable invariant; Euler characteristic; Local formula;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It is shown that if a real-valued PL-invariant of closed combinatorial manifolds admits a local formula that depends only on the f-vector of the link of each vertex, then the invariant must be a constant times the Euler characteristic.
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页码：191 / 200
页数：9
相关论文
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[2]  
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[3]  
Klee V.(1964)A combinatorial analogue of Poincaré’s duality theorem Canad. J. Math. 16 517-531
[4]  
Roberts J.(2002)Unusual formulae for the Euler characteristic J. Knot Theory Ramifications 11 793-796
[5]  
Yu L.(2010)A property that characterizes Euler characteristic among invariants of combinatorial manifolds Adv. Math. 225 794-804
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