Geodesic
Splitting homotopy equivalences along a one-sided submanifold of codimension one
Izvestiya. Mathematics, Tome 30 (1988) no. 2, pp. 185-215 
P. M. Akhmet'ev. Splitting homotopy equivalences along a one-sided submanifold of codimension one. Izvestiya. Mathematics, Tome 30 (1988) no. 2, pp. 185-215. http://geodesic.mathdoc.fr/item/IM2_1988_30_2_a0/
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Voir la notice de l'article provenant de la source Math-Net.Ru

An algebraic construction is given for the group of obstructions to splitting homotopy equivalences along a one-sided submanifold of codimension one. Bibliography: 7 titles.

[1] Wall C. T. C., Surgery on Compact Manifolds, Acad. Press, New York, London, 1970 | MR

[2] Browder W., Livesay G. R., “Fixed point free involutions on homotopy speres”, Bull. Amer. Math. Soc., 73:2 (1967), 242–245 | DOI | MR | Zbl

[3] Kharshiladze L. F., “Gladkie i kusochno-lineinye struktury na proizvedeniyakh proektivnykh prostranstv”, Izv. AN SSSR. Ser. matem., 47:2 (1983), 366–383 | MR | Zbl

[4] Ranicki A., “Algebraic $L$-theory. I: Foundations”, Proc. London Math. Soc., 3:27 (1973), 101–130 | DOI | MR

[5] Kharshiladze A. F., “Ermitova $K$-teoriya i kvadratichnye rasshireniya kolets”, Tr. Mosk. matem. ob-va, 41, 1980, 3–36 | MR | Zbl

[6] Spener E., Algebraicheskaya topologiya, Mir, M., 1971 | MR

[7] Cappel S., “A splitting theorem for manifolds”, Invent. Math., 33 (1976), 69–170 | DOI | MR | Zbl