Hohloch, Sonja2015-04-132015-04-132015-04-13201410.4310/HHA.2014.v16.n2.a1https://infoscience.epfl.ch/handle/20.500.14299/113015WOS:000350861300001We generalize Cohen & Jones & Segal's flow category, whose objects are the critical points of a Morse function and whose morphisms are the Morse moduli spaces between the critical points to an n-category. The n-category construction involves repeatedly doing Morse theory on Morse moduli spaces for which we have to construct a class of suitable Morse functions. It turns out to be an 'almost strict' n-category, i.e. it is a strict n-category 'up to canonical isomorphisms'.Morse theoryn-category theoryflow categorytext::journal::journal article::research article