Reeb spaces of smooth functions on manifolds II

The Reeb space of a continuous function on a topological space is the space of connected components of the level sets. In this paper we characterize those smooth functions on closed manifolds whose Reeb spaces have the structure of a finite graph. We also give several explicit examples of smooth fun...

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Vydané v:	Research in the mathematical sciences Ročník 11; číslo 2
Hlavný autor:	Saeki, Osamu
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 01.06.2024
Predmet:	Applications of Mathematics Computational Mathematics and Numerical Analysis Mathematics Mathematics and Statistics 54C30 57R45 Reeb space Reeb graph Smooth function Secondary 58K30 Primary 58K05 58K15 Peano continuum 57R70
ISSN:	2522-0144, 2197-9847
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