Localizable invariants of combinatorial manifolds and Euler characteristic
arXiv:0903.0699 · doi:10.1007/s00013-014-0614-8
Abstract
It is shown that if a real value 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.
14 pages, 5 figures. Some arguments are improved and one picture is added