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Smooth structures on Morse trajectory spaces, featuring finite ends and associative gluing

Smooth structures on Morse trajectory spaces, featuring finite ends and associative gluing

We give elementary constructions of manifold with corner structures and associative gluing maps on compactifications of spaces of infinite, half infinite, and finite Morse flow lines.In the case of Euclidean metric in Morse coordinates near each critical point, these are naturally given by evaluations at end points and regular level …