Structures of optimal discrete gradient vector fields on surface with one or two critical cells

Structures of optimal discrete gradient vector fields on surface with one or two critical cells

We describe all possible structures of discrete vector field (discrete Morse functions) with minimal number of critical cells on the regular CW-complex for the 2-disk (1 cell), the 2-sphere (2 cells), the cylinder (2 cells) and Mobius band (2 cells).

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Bibliographische Detailangaben
Hauptverfasser: Bilun, Svitlana, Hrechko, Maria, Myshnova, Olena, Prishlyak, Alexandr
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Dynamical Systems
Mathematics - Geometric Topology
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Zusammenfassung:We describe all possible structures of discrete vector field (discrete Morse functions) with minimal number of critical cells on the regular CW-complex for the 2-disk (1 cell), the 2-sphere (2 cells), the cylinder (2 cells) and Mobius band (2 cells).
DOI:10.48550/arxiv.2303.07258