Kronrod-Reeb graphs of functions on noncompact two-dimensional surfaces. I

DOI10.1007/s11253-015-1091-3zbMath1359.26017OpenAlexW2202605469MaRDI QIDQ324197

Eugene Polulyakh

Publication date: 10 October 2016

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-015-1091-3

zbMATH Keywords

level setsstable mapsgraph with stalksKronrod-Reeb graphslocal extremasingularities of continuous functions

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Continuity and differentiation questions (26B05) Special properties of functions of several variables, Hölder conditions, etc. (26B35) Real-valued functions in general topology (54C30)

Related Items

Approximation of metric spaces by Reeb graphs: Cycle rank of a Reeb graph, the co-rank of the fundamental group, and large components of level sets on Riemannian manifolds, Kronrod-Reeb graphs of functions on noncompact two-dimensional surfaces. II, Realization of a digraph as the Reeb graph of a Morse-Bott function on a given surface, Homeotopy groups for nonsingular foliations of the plane

Cites Work

• Topological equivalence of smooth functions with isolated critical points on a closed surface
• Differentiable open maps of (p+1)-manifold to p-manifold
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