Journal of Singularities
volume 13 (2015), 141-158
Received 4 September 2013. Received in revised form 9 January 2015.
Stratified Morse theory is the generalization of usual Morse theory to functions on stratified spaces. There are versions for the topological type, homotopy type or (co)homology. A standard reference is the book of Goresky-MacPherson which primarily treats the topological type. Corresponding results about the homotopy type or cohomology may be expected to be consequences but in fact usually one needs some extra information, in particular in the case of cohomology of constructible sheaves, as we will see in this paper.
Morse theory, stratification, constructible sheaf
Mathematical Subject Classification:
Helmut A. Hamm
Mathematisches Institut der WWU
48149 Münster, Germany