Reeb spaces of smooth functions on manifolds II
Geometric Topology
2023-08-14 v1
Abstract
The Reeb space of a continuous function 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 functions on closed manifolds such that they themselves or their Reeb spaces have some interesting properties.
Cite
@article{arxiv.2308.05953,
title = {Reeb spaces of smooth functions on manifolds II},
author = {Osamu Saeki},
journal= {arXiv preprint arXiv:2308.05953},
year = {2023}
}
Comments
11 pages, 6 figures, continuation of the previous paper "Reeb spaces of smooth functions on manifolds"