The moduli space of generalized Morse functions
classification
🧮 math.AT
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spacemodulifunctionsmorsegeneralizedcategoryclassifyingclosely
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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 in the paper math.AT/0212321, and the classifying space of the corresponding cobordism category.
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