Stratified Morse Theory: Past and Present
David B. Massey · Pure and Applied Mathematics Quarterly · 2006
We recall the basic definitions and results of Goresky and MacPherson on Stratified Morse Theory.We also briefly describe the "classical" applications of these results to intersection homology, homotopy results for algebraic varieties, and homology groups of complements of affine subspace arrangements.We then discuss a number of related results and developments, which have appeared since Goresky and MacPherson's work.