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math.GT2006
Morse functions statistics
Liviu I. Nicolaescu
We answer a question of V.I. Arnold concerning the growth rate of the number of Morse functions on the two sphere.
math.GT2006★ 22 cited
Counting Morse functions on the 2-sphere
Liviu I. Nicolaescu
This paper was motivated by work of Arnold where he explains how to count "snakes", i.e. Morse functions on the real axis with prescribed behavior at infinity. This leads immediate…