The paper examines graph representations and examples for Reeb spaces of continuous functions on nice Hausdorff spaces that are not CW complexes.
Kitazawa,On Reeb graphs induced from smooth functions on closed or open sur- faces, Methods of Functional Analysis and Topology Vol
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Representations of Reeb spaces via simplified graphs and examples
The paper examines graph representations and examples for Reeb spaces of continuous functions on nice Hausdorff spaces that are not CW complexes.