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math.GN2023
Real algebraic functions on closed manifolds whose Reeb spaces are given graphs
Naoki Kitazawa
In our paper, we construct a real-algebraic function whose Reeb (Kronrod-Reeb) graph is a graph respecting some algebraic domain: a graph for this is called Poincaré-Reeb graph. Th…
math.GN2023
Smooth maps like special generic maps
Naoki Kitazawa
In our paper, we introduce special-generic-like maps or SGL maps as smooth maps and study their several algebraic topological and differential topological properties. The new class…