Homology spheres
Tóm tắt
An analysis of the homotopy type of spaces with the same homology as the sphere S
n
(n>1) is given. All such spaces are constructed by means of algebraic “invariants” and a certain homology decomposition tower.
Tài liệu tham khảo
A. K. Bousfield and D. Kan,Homotopy with respect to a ring, Proc. Symp. Pure Math., Vol. 22, Amer. Math. Soc., Providence, R. I., 1971, pp. 59–64.
A. K. Bousfield and D. Kan,Localization and completion in homotopy theory, Bull. Amer. Math. Soc.77 (1971), 1006–1010.
A. Dold,Über faseraweise Homolopieaquivalencz von Faserräumen, Math. Z.62, (1955), 111–136.
E. Dror,Acyclic space, Topology,11 (1972), 339–348.
John Milnor,Introduction to algebraic K-theory, Ann. of Math. Studies 72, Princeton University Press, Princeton, N. J., 1971.
R.G. Swan,Algebraic K-theory, Springer-Verlag Lecture Notes 76, 1968, p. 207.
C.T.C. Wall,Surgery on Compact Manifolds, Academic Press, New York, 1971, p. 17.
J.A. Wolf,Spaces of Constant Curvature, McGraw-Hill Co., New York, pp. 85 and 181.