For any finite graph satisfying genericity conditions and any dimension at least 2, the paper constructs real algebraic maps to curves whose Reeb graph is isomorphic to the graph.
Curley, Non-singular extensions of Morse functions , Topology (1) 16 (1977), 89–97
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.AG 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Reconstruction of real algebraic functions into curves with prescribed Reeb graphs
For any finite graph satisfying genericity conditions and any dimension at least 2, the paper constructs real algebraic maps to curves whose Reeb graph is isomorphic to the graph.