Minimal morsifications for functions of two real variables
https://doi.org/10.22405/2226-8383-2020-21-1-381-387
Abstract
In this paper we give an explicit construction of morsifications with the smallest topologically
possible number of real critical points for functions of two variables with smooth level-set
branches, as well as for semiquasihomogenous functions of two real variables.
About the Author
Ivan Andreevich Proskurnin
M. V. Lomonosov Moscow State University
Russian Federation
Ph.D. student of the department of Higher Geometry and Topology
Russian Federation
Ph.D. student of the department of Higher Geometry and Topology
Review
For citations:
Proskurnin I.A. Minimal morsifications for functions of two real variables. Chebyshevskii Sbornik. 2020;21(1):381-387. (In Russ.) https://doi.org/10.22405/2226-8383-2020-21-1-381-387
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