Topological equivalence of harmonic polynomials. (Russian. English summary) Zbl 1289.58020
Summary: The problem of topological classification of functions, in particular harmonic functions, is considered. Using the Kronrod-Reeb graph, the necessary and sufficient condition for two harmonic polynomials of general position to be topologically equivalent is given.
MSC:
| 58K65 | Topological invariants on manifolds |
| 58E05 | Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces |
