Reeb Spaces of Smooth Functions on Manifolds
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Publication:5090564
DOI10.1093/imrn/rnaa301zbMath1501.57028arXiv2006.01689OpenAlexW3128520745MaRDI QIDQ5090564
Publication date: 20 July 2022
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.01689
Planar graphs; geometric and topological aspects of graph theory (05C10) Critical points and critical submanifolds in differential topology (57R70)
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Criterion for a graph to admit a good orientation in terms of leaf blocks ⋮ Reeb graphs of circle-valued functions: a survey and basic facts ⋮ Reeb spaces of smooth functions on manifolds II ⋮ Realization of a digraph as the Reeb graph of a Morse-Bott function on a given surface ⋮ Morse-Bott functions with two critical values on a surface ⋮ A finite graph is homeomorphic to the Reeb graph of a Morse-Bott function
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