Abstract
We correct a lemma on the Hausdorffness of a Reeb space from the paper “Regularity via links and Stein factorization” by Grady and Schenfisch published in this journal: we give counterexamples to that wrong lemma and formulate a correct sufficient condition for the Hausdorffness of a Reeb space.
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References
Grady, R., Schenfisch, A.: Regularity via links and Stein factorization. Beitr. Algebra Geom. (2023). https://doi.org/10.1007/s13366-023-00713-y
Gelbukh, I.: On the topology of the Reeb graph. Publ. Math. Debr. 104(3–4), 1–23 (2024)
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Gelbukh, I. A (corrected) sufficient condition for the Hausdorffness of a Reeb space. Beitr Algebra Geom (2024). https://doi.org/10.1007/s13366-024-00749-8
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DOI: https://doi.org/10.1007/s13366-024-00749-8