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In differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold.
22
votes
Accepted
Operations via Morse Theory
Massey products are discussed in Section 1.3 of
Fukaya, Kenji. Morse homotopy,
$A_{\infty}$-category, and Floer
homologies. Proceedings of GARC
Workshop on Geometry and Topology '93
(Seou …
6
votes
Perturbation of Morse function
Sure. For any sequence $\epsilon_n\to 0$ a sequence of critical points of $f_n:=f+\epsilon_n \rho Q$ would have a subsequence which converges to a critical point of $f$, so in particular would eventu …