A property that characterizes Euler characteristic among invariants of combinatorial manifolds
Geometric Topology
2011-01-25 v1 Combinatorics
Abstract
If a real value invariant of compact combinatorial manifolds (with or without boundary) depends only on the number of simplices in each dimension on the manifold, then the invariant is completely determined by Euler characteristics of the manifold and its boundary. So essentially, Euler characteristic is the unique invariant of this type.
Cite
@article{arxiv.0903.2523,
title = {A property that characterizes Euler characteristic among invariants of combinatorial manifolds},
author = {Li Yu},
journal= {arXiv preprint arXiv:0903.2523},
year = {2011}
}
Comments
12 pages, 8 figures