Topological equivalence of smooth functions with isolated critical points on a closed surfaces

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dc.creatorPrishlyak, Alexander O.
dc.date1999-12-01
dc.date.accessioned2026-07-07T05:32:03Z
dc.date.available2026-07-07T05:32:03Z
dc.descriptionWe 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$z^k$ for the some nonnegative integer k. The full topological invariant of such functions is constructed.
dc.description12 pages without figures
dc.identifierhttps://arxiv.org/abs/math/9912004
dc.identifierhttp://arxiv.org/abs/math/9912004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79522
dc.subjectGeometric Topology
dc.subject57R45; 57R70; 58C27
dc.titleTopological equivalence of smooth functions with isolated critical points on a closed surfaces
dc.typetext

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