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math.GT1999
Topological equivalence of smooth functions with isolated critical points on a closed surfaces
Alexander O. Prishlyak
We consider functions with isolated critical points on a closed surface. We prove that in a neighborhood of a critical point the function conjugates with Re for the some nonne…
math.GT1999
Minimal handle decomposition of smooth simply connected 5-manifolds
A. O. Prishlyak
A theorem on the existence of the unique minimal topologic handle decomposition of differentiable simply connected five-dimensional manifolds is proved. For a decomposition of this…
math.GT1999
Conjugation of Morse Function on 3-Manifolds
Alexander Prishlyak
The questions when two Morse function on closed manifolds are conjugated is investigated. Using the handle decompositions of manifolds the condition of conjugation is formulated. F…