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

Published 13 Mar 2023 in math.DS and math.GT | (2303.07258v1)

Abstract: 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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