In mathematics, stratified Morse theory is an analogue to Morse theory for general stratified spaces, originally developed by Mark Goresky and Robert MacPherson. The main point of the theory is to consider functions f : M → R {\displaystyle f:M\to \mathbb {R} } and consider how the stratified space f − 1 ( − ∞ , c ] {\displaystyle f^{-1}(-\infty ,c]} changes as the real number c ∈ R {\displaystyle c\in \mathbb {R} } changes.
In mathematics, stratified Morse theory is an analogue to Morse theory for general stratified spaces, originally developed by Mark Goresky and Robert MacPherson. The main point of the theory is to consider functions f : M → R {\displaystyle f:M\to \mathbb {R} } and consider how the stratified space f − 1 ( − ∞ , c ] {\displaystyle f^{-1}(-\infty ,c]} changes as the real number c ∈ R {\displaystyle c\in \mathbb {R} } changes.
Source: Wikipedia "Stratified Morse theory" · CC BY-SA 4.0
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