BEWARE: your web browser may be out-of-date...




This is joint work with I. Madsen. We study the moduli and determine a homotopy type of the space of all generalized Morse functions on d-manifolds for given d. This moduli space is closely connected to the moduli space of all Morse functions studied by Madsen and Weiss to prove Mumford conjecture and classifying space of the corresponding cobordism category.