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math.GT2019
Index of a singular point of a vector field or of a 1-form on an orbifold
S. M. Gusein-Zade
Indices of singular points of a vector field or of a 1-form on a smooth manifold are closely related with the Euler characteristic through the classical Poincaré--Hopf theorem. Gen…
math.GT2018
The universal Euler characteristic of V-manifolds
S. M. Gusein-Zade, I. Luengo, A. Melle-Hernández
The Euler characteristic is the only additive topological invariant for spaces of certain sort, in particular, for manifolds with some finiteness properties. A generalization of th…