References
A1. Adams, J. F.: On the groupsJ(X)-I. Topology2, 181–195 (1963)
A2. Adams, J. F.: Lectures on Lie groups. New York: Benjamin 1969
An. Anderson, D. W.: Thesis, University of California, Berkeley, 1964
AS1. Atiyah, M. F., Segal, G.: EquivariantK-theory and completion. J. Diff. Geometry3, 1–18 (1969)
AS2. Atiyah, M. F., Singer, I. M.: The index of elliptic operators IV. Ann. of Math.93, 119–138 (1971)
BG. Becker, J. C., Gottlieb, D. H.: The transfer map and fibre bundles. Topology14, 1–12 (1975)
BV. Boardman, J. M., Vogt, R. M.: Homotopy everythingH-spaces. Bull. A.M.S.74, 1117–1122 (1968)
BO. Borel, A.: Linear algebraic groups. New York: Benjamin 1969
B. Browder, W.: Surgery on simply connected manifolds. Berlin-Heidelberg-New York: Springer 1972
Br1. Brown, E. H., Jr.: The Kervaire invariant of a manifold. A.M.S. Proc. Symposia in Pure Math. XXII, Algebraic topology, pp. 65–71. Madison 1970
Br2. Brown, E. H., Jr.: Cohomology theories. Ann. of Math.75, 467–484 (1962)
BMM. Brumfiel, G. W., Madsen, I., Milgram, R. J.: PL characteristics classes and cobordism. Ann. of Math.97, 82–159 (1972)
D. Dold, A.: Transfert des points fixes d'une famille continue d'application. C. R. Acad. Sci. (Paris)278, 1291–1293 (1974)
HS. Hopf, H., Samelson, H.: Ein Satz über die Wirkungsräume geschlossener Lie'scher Gruppen. Comm. Math. Helv.13, 240–251 (1940)
KS. Kirby, R., Siebenmann, L.: Some theorems on topological manifolds. Manifolds-Amsterdam 1970. Lecture Notes in Mathematics197. Berlin-Heidelberg-New York: Springer 1971
KP. Kahn, D. S., Priddy, S. B.: Applications of the transfer to stable homotopy theory. Bull. A.M.S.76(6), 981–987 (1972)
Ma. Madsen, I.: On the action of the Dyer-Lashof algebra inH * (G). Pacific J. Math.60, 235–275 (1975)
MM. Madsen, I., Milgram, R. J.: The smooth surgery class. To appear in Comm. Math. Helv.
M. Milgram, R. J.: Surgery with coefficients. Ann. of Math.100, 194–248 (1974)
MS. Morgan, J., Sullivan, D.: The transversality characteristic class and linking cycles in surgery theory. Ann. of Math.99, 463–544 (1974)
Q. Quillen, D.: The Adams conjecture. Topology10, 67–80 (1971)
RS. Rourke, C. P., Sullivan, D.: On the Kervaire obstruction. Ann. of Math.94, 397–413 (1971)
Se. Segal, G. B.: The representation ring of a compact Lie group. Inst. des Hautes Etudes Sci. pp. 113–128 (1968)
S1. Sullivan, D.: Genetics of homotopy theory and the Adams conjecture. Ann. of Math.100, 1–79 (1974)
S2. Sullivan, D.: Geometric topology. Part I: Localization, periodicity, and Galois symmetry. Cambridge: M.I.T. Press 1970
S3. Sullivan, D.: Thesis, Princeton University, 1965
W. Wall, C. T. C.: Surgery on compact manifolds. London: Academic Press 1970
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Brumfiel, G., Madsen, I. Evaluation of the transfer and the universal surgery classes. Invent Math 32, 133–169 (1976). https://doi.org/10.1007/BF01389959
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DOI: https://doi.org/10.1007/BF01389959