Stable Bi-Maps on Surfaces and Their Graphs

DOI10.5540/tcam.2023.024.02.00337zbMath1525.58014MaRDI QIDQ6088982

Erica Boizan Batista, C. Mendes de Jesus, João Carlos Ferreira Costa

Publication date: 14 December 2023

Published in: Trends in Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

stable mapsclosed surfaces\(\mathscr{RM}\)-graphs

Mathematics Subject Classification ID

Stability theory for manifolds (58K25)

Cites Work

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• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Stable maps from surfaces to the plane with prescribed branching data
• The Reeb graph of a map germ from \(\mathbb {R}^3\) to \(\mathbb {R}^2\) with non isolated zeros
• Realization of a graph as the Reeb graph of a Morse function on a manifold
• Reeb graphs for shape analysis and applications
• Topological classification of Morse functions and generalisations of Hilbert's 16-th problem
• First order local invariants of apparent contours
• A SMOOTH FUNCTION ON A MANIFOLD WITH GIVEN REEB GRAPH
• A Combinatorial Construction of a Nonmeasurable Set
• Realization of smooth functions on surfaces as height functions
• Topological classification of circle-valued simple Morse-Bott functions
• Realization of a Graph as the Reeb Graph of a Morse–Bott or a Round Function

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