Morse 1934: smooth function f: M → ℝ on compact manifold has critical points c_i with Morse indices λ_i; Euler characteristic χ(M) = Σ (-1)^{λ_i}. Reconstructs topology from function-analysis. Foundation of differential topology +…
Morse 1934: smooth function f: M → ℝ on compact manifold has critical points c_i with Morse indices λ_i; Euler characteristic χ(M) = Σ (-1)^{λ_i}. Reconstructs topology from function-analysis. Foundation of differential topology +…