Alexandrov spaces are metric generalizations of Riemannian manifolds with sectional curvature bounds. The boundary of an Alexandrov space M may decompose into several boundary strata. If M has positive curvature, it is quite well understood how the number of boundary strata determines the homeomorphism type of M as a stratified space. This book deals with the case that M has nonnegative curvature. The author Andreas Worner begins with an introduction to Alexandrov geometry, which requires only some familiarity with Riemannian geometry. Then boundary strata are investigated more closely. After...
Alexandrov spaces are metric generalizations of Riemannian manifolds with sectional curvature bounds. The boundary of an Alexandrov space M may decomp...