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Topologically non-degenerate functions on a compact \(n\)-manifold \(M\). (English) Zbl 0096.30603


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[1] Morse, M., A positive, lower semi-continuous non-degenerate function on a metric space, Fundamenta Mathematicae., 35, 47-78 (1948) · Zbl 0031.35601
[2] Morse, M., The existence of polar non-degenerate functions on differentiable manifolds,Annals of Mathematics, vol. 71 (1960). To be published. · Zbl 0096.03604
[3] Morse, M., Introduction to Analysis in the Large, Lectures (1947), Princeton, N. J.: Institute for Advanced Study, Princeton, N. J.
[4] Morse, M., The existence of non-degenerate functions on a differentiable manifold,Annali di Matematica (1960). To be published. · Zbl 0096.03603
[5] Moise, E. E., Affine structures in 3-manifolds, V. The triangulation theorem and Hauptvermutung, Annals of Mathematics, 56, 96-114 (1952) · Zbl 0048.17102 · doi:10.2307/1969769
[6] Cairns, S. S., Triangulated manifolds and differentiable manifolds. Lectures in topology, University of Michigan Conference, 1940, University of Michigan Press, 1941. · Zbl 0063.00681
[7] Eilenberg, S., Singular homology theory, Annals of Mathematics, 45, 407-449 (1944) · Zbl 0061.40603 · doi:10.2307/1969185
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