V. V. Sharko
Abstract
Stable algebra is developed as needed in Morse theory. New estimates are found for the number of critical points of Morse functions, and conditions are found for the existence of minimal Morse functions on non-simply-connected manifolds.
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Stable algebra is developed as needed in Morse theory. New estimates are found for the number of critical points of Morse functions, and conditions are found for the existence of minimal Morse functions on non-simply-connected manifolds.
Key concepts: Morse code, Algebra over a field, Mathematics, Circle-valued Morse theory, Morse theory, Pure mathematics, Computer science, Telecommunications