A property that characterizes Euler characteristic among invariants of combinatorial manifolds

作者：Yu Li^*

来源：Advances in Mathematics, 2010, 225(2): 794-804.

DOI：10.1016/j.aim.2010.03.016

• Combinatorial manifold
• Bistellar move
• Euler characteristic

If a real valued invariant of compact combinatorial manifolds (with or without boundary) depends only on the number of simplices in each dimension in the manifold, then the invariant is completely determined by the Euler characteristic of the manifold and its boundary. So essentially, the Euler characteristic is the unique invariant of this type.

• 出版日期2010-10-1
• 单位南京大学