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@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/} }
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/
[1] Pitcher E., “Inequalities of critical point theory”, Bull. Amer. Math. Soc., 64:3 (1958), 1–30 | DOI | MR | Zbl
[2] Smale S., “On structure of Manifolds”, Amer. J. Math., 84:3 (1962), 387–399 | DOI | MR | Zbl
[3] Barden D., “Simply connected five-manifolds”, Ann. Math., 82:3 (1965), 365–385 | DOI | MR | Zbl
[4] Bogoyavlenskii O. I., “O tochnoi funktsii na mnogoobraziyakh”, Matem. zametki, 8:1 (1970), 77–83
[5] Hajduk B., “Comparing handle decomposition of homotopy equvalent manifolds”, Fundamenta Math., 95:1 (1977), 3–13 | MR
[6] Sharko V., “Minimal Morse functions”, Lecture Notes in Math., no. 11008, Springer, Berlin, 1984, 218–234 | MR
[7] Sharko V. V., “Minimalnye rezolventy i funktsii Morsa”, Tr. MIAN SSSR, 154, 1983, 306–311 | MR | Zbl
[8] Novikov S. P., “Blokhovskie gomologii. Kriticheskie tochki funktsii i zamknutykh 1-form”, Dokl. AN SSSR, 287:6 (1986), 1321–1324 | MR
[9] Novikov S. P., Shubin M. A., “Neravenstva Morsa i neimanovskie $\Pi_1$-faktory”, Dokl. AN SSSR, 289:2 (1986), 289–292 | MR | Zbl
[10] Feis K., Algebra: koltsa, moduli, kategorii, t. I, Mir, M., 1977
[11] Suslin A. A., “Proektivnye moduli nad koltsom mnogochlenov svobodny”, Dokl. AN SSSR, 229:5 (1976), 1063–1066 | MR | Zbl
[12] Quillen D., “Projective modules over polynomial rings”, Inventiones Math., 36:1 (1976), 167–171 | DOI | MR | Zbl
[13] Jacobinski H., “General and decomposition of lattices over order”, Acta Math., 121:1 (1968), 1–29 | DOI | MR | Zbl
[14] Base X., Algebraicheskaya $K$-teoriya, Mir, M., 1973 | MR
[15] Hilton P., Stambach U., A course in homological algebra, Springer-Verlag, N.Y., 1970, 342 pp. | Zbl
[16] Swan R., “Projective modules over group ring and maximal orders”, Ann. Math., 76:1 (1962), 51–66 | DOI | MR
[17] Sharko V. V., “Stabilnaya algebra i teoriya Morsa”, Ukr. matem. zhurn., 32:5 (1980), 711–713 | MR | Zbl
[18] Wafield R. B., “Stable generation of modules”, Lecture Notes in Math., no. 700, Springer, Berlin, 1979, 16–33 | MR
[19] Dyer M. N., “On the essential heigh of homotopy trees with finite fundamental group”, Compositio Math., 36:2 (1978), 209–224 | MR | Zbl
[20] Alperin R., Dennis K., Stein M., “The non-triviality of $SK_1[Z\pi]$”, Lecture Notes in Math., no. 363, Springer, Berlin, 1973, 97–115 | MR
[21] Magurn B., Oliver R., Vaserstein L., “Units in Whitehead group of finite groups”, J. of Algebra, 62:3 (1983), 324–378 | DOI | MR
[22] Cohen M. M., A course in simple-homotopy theory, Springer-Verlag, N.Y., 1973 | MR
[23] De-Rham G., Maymary S., Kervaire M., Torsion et type simple d'homotopie, Lecture Notes in Math., 48, Springer, Berlin, 1967 | MR | Zbl
[24] Whitehead J. H. C., “Simple homotopy types”, Amer. J. Math., 72:1 (1950), 1–57 | DOI | MR | Zbl
[25] Cockroft W., Swan R., “On the homotopy types of Cartian two dimensional complexes”, J. London Math. Soc., 11:1 (1961), 306–311
[26] Braun K., Kogomologii grupp, Nauka, M., 1987 | MR
[27] Milnor D., Teorema ob $h$-kobordizme, Mir, M., 1969 | MR
[28] Fomenko A. T., Topologicheskie variatsionnye zadachi, MGU, M., 1984 | MR
[29] Milnor D., “Kruchenie Uaitkheda”, Matematika, 11:7 (1967), 3–42
[30] Kirby R., Siebenmann L., “Foundational essays on topological manifolds, smoothings and triangulations”, Ann. Math. Studies, 88, 1977 | MR | Zbl
[31] Sharko V. V., “Chisla Morsa i minimalnye funktsii Morsa na neodnosvyaznykh mnogoobraziyakh”, Ukr. matem. zhurn., 40:1 (1968), 130–131 | MR
[32] Rurk K., Sanderson B., Vvedenie v kusochno lineinuyu topologiyu, Mir, M., 1974 | MR
[33] Cohen M. M., “Whitehead torsion, group extensions and Zeemans conjecture in higs dimensions”, Topology, 16:1 (1975), 79–88 | DOI | MR