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MR1072697 57R70 (18G35 57Q10)
Sharko, V. V. The stable algebra of Morse theory. (Russian) Izv. Akad. Nauk SSSR Ser. Mat. 54 (1990), no. 3, 607--631, 656; translation in Math. USSR-Izv. 36 (1991), no. 3, 629–653
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