Pairs of Morse functions
Copyright policy )Pairs of Morse functions
The goal of this paper is to classify pairs of Morse functions in general position modulo the action of different groups.In particular, we obtain the classification of generic pairs of Morse functions, with or without target diffeomorphisms, and that of quotients of Morse functions.We will also present a lemma which gives a sufficient condition for two pairs of functions to be conjugated.
Mathematics - Differential Geometry, Differential Geometry (math.DG), Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], Classical Analysis and ODEs (math.CA), FOS: Mathematics, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], Complex Variables (math.CV), 510
Mathematics - Differential Geometry, Differential Geometry (math.DG), Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV], Classical Analysis and ODEs (math.CA), FOS: Mathematics, [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV], Complex Variables (math.CV), 510
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