Title Higher Morse moduli spaces and n-categories Author Hohloch, Sonja Faculty/Department Faculty of Sciences. Mathematics and Computer Science Publication type article Publication 2014 2014 Subject Mathematics Source (journal) Homology, homotopy & applications Volume/pages 16(2014) :2 , p. 1-32 ISSN 1532-0073 Carrier E Target language English (eng) Full text (Publishers DOI) Abstract We generalize Cohen & Jones & Segal's ow 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'. Full text (open access) https://repository.uantwerpen.be/docman/irua/c6b096/75262de6.pdf