Source: wikibot/stratified-morse-theory
= Stratified Morse theory
{wiki=Stratified_Morse_theory}
Stratified Morse theory is a branch of mathematical study that extends classical Morse theory, which is primarily concerned with the topology of manifolds, to the setting of stratified spaces. A stratified space is a space that is decomposed into smooth manifolds, called strata, that fit together in a specific manner, often allowing for singularities in a controlled way.