Full paper in PDF:
$%L. Bröker, M. Kuppe, and W. Scheufler, Inner metric properties of 2-dimensional semi-algebraic
sets, Rev. Mat. Univ. Complut. Madrid 10 (1997), supplementary, 51–78.
%$
We consider 2-dimensional semialgebraic topological manifolds from the differentialgeometric point of view. Curvatures at singularities are defined and a Gauss-Bonnet formula holds. Moreover, Aleksandrov’s axioms for an intrinsic geometry of surfaces are fulfilled.
2000 Mathematics Subject Classification: 14P10, 14P99.