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which clearly it reveals itself as of
at the tagged circles, making the critical point degenerate, that is, showing that the critical points are not isolated.
Round complexity
Mimicking the L-S category theory one can define the round complexity asking for whether or not exist round functions on manifolds and/or for the minimum number of critical loops.
References
Siersma and Khimshiasvili, On minimal round functions, Preprint 1118, Department of Mathematics, Utrecht University, 1999, pp. 18.[1]. An update at [2]