Continuation maps give functorial morphisms between Morse fundamental groups, including on different manifolds via grafted trajectories, and the Morse fundamental group of an interpolation function on M×R is a relative fundamental group.
Its limit at−∞ is−∞, and its limit at +∞ is +∞
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Continuation maps for the Morse fundamental group
Continuation maps give functorial morphisms between Morse fundamental groups, including on different manifolds via grafted trajectories, and the Morse fundamental group of an interpolation function on M×R is a relative fundamental group.