Geodesic
On stratified Morse theory: from topology to constructible sheaves
Journal of Singularities, Tome 13 (2015), pp. 141-158

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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.
DOI : 10.5427/jsing.2015.13g
Classification : 32S60, 58K05 
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     author = {Helmut A. Hamm},
     title = {On stratified {Morse} theory: from topology to constructible sheaves},
     journal = {Journal of Singularities},
     pages = {141--158},
     publisher = {mathdoc},
     volume = {13},
     year = {2015},
     doi = {10.5427/jsing.2015.13g},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.13g/}
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Helmut A. Hamm. On stratified Morse theory: from topology to constructible sheaves. Journal of Singularities, Tome 13 (2015), pp. 141-158. doi: 10.5427/jsing.2015.13g

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