Geodesic
Stable algebra in Morse theory
Izvestiya. Mathematics , Tome 36 (1991) no. 3, pp. 629-653

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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. 
@article{IM2_1991_36_3_a7,
     author = {V. V. Sharko},
     title = {Stable algebra in {Morse} theory},
     journal = {Izvestiya. Mathematics },
     pages = {629--653},
     publisher = {mathdoc},
     volume = {36},
     number = {3},
     year = {1991},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1991_36_3_a7/}
}
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V. V. Sharko. Stable algebra in Morse theory. Izvestiya. Mathematics , Tome 36 (1991) no. 3, pp. 629-653. http://geodesic.mathdoc.fr/item/IM2_1991_36_3_a7/