Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1567403
Full text of review:
PDF
This review is available free of charge.
Book Information:
Authors:
N. Mahammed,
R. Piccinini and
U. Suter
Title:
Some applications of topological $K$-theory
Additional book information:
Mathematics Studies, no. 45, North-Holland, Amsterdam, ix + 137 pp., $41.50.
J. F. Adams, Vector fields on spheres, Ann. of Math. (2) 75 (1962), 603–632. MR 139178, DOI 10.2307/1970213
M. F. Atiyah, $K$-theory, W. A. Benjamin, Inc., New York-Amsterdam, 1967. Lecture notes by D. W. Anderson. MR 0224083
M. F. Atiyah, Immersions and embeddings of manifolds, Topology 1 (1962), 125–132. MR 145549, DOI 10.1016/0040-9383(65)90020-0
M. F. Atiyah and F. Hirzebruch, Vector bundles and homogeneous spaces, Proc. Sympos. Pure Math., Vol. III, American Mathematical Society, Providence, R.I., 1961, pp. 7–38. MR 0139181
J. C. Becker, The span of spherical space forms, Amer. J. Math. 94 (1972), 991–1026. MR 312516, DOI 10.2307/2373562
Raoul Bott, The stable homotopy of the classical groups, Ann. of Math. (2) 70 (1959), 313–337. MR 110104, DOI 10.2307/1970106
Heinz Hopf, Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche, Math. Ann. 104 (1931), no. 1, 637–665 (German). MR 1512691, DOI 10.1007/BF01457962
Max Karoubi, $K$-theory, Grundlehren der Mathematischen Wissenschaften, Band 226, Springer-Verlag, Berlin-New York, 1978. An introduction. MR 0488029
C. B. Thomas, Free actions by finite groups on $S^{3}$, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 125–130. MR 520499
- 1.
- J. F. Adams, Vector fields on spheres, Ann. of Math. (2) 75 (1962), 603-632. MR 0139178
- 2.
- M. F. Atiyah, K-theory, Benjamin, New York, 1967. MR 224083
- 3.
- M. F. Atiyah, Topology 1 (1961), 125-132. MR 145549
- 4.
- M. F. Atiyah and F. Hirzebruch, Vector bundles and homogeneous spaces, Proc. Sympos. Pure Math., vol. 3, Amer. Math. Soc., Providence, R. I., 1961, pp. 7-38. MR 139181
- 5.
- J. C. Becker, The span of spherical space forms, Amer. J. Math. 94 (1972), 991-1025. MR 312516
- 6.
- R. Bott, The stable homotopy of the classical groups, Ann. of Math. (2) 75 (1953), 409-448. MR 110104
- 7.
- H. Hopf, Über die abbildungen der dreidimensinalen sphäre auf die Kugelfläche, Math. Ann. 104 (1931), 637-665. MR 1512691
- 8.
- M. Karoubi, K-theory, Grundlehren der. Math. Wiss., no. 226, Springer-Verlag, Berlin and New York, 1978. MR 488029
- 9.
- C. B. Thomas, Free actions by finite groups on S, Proc. Sympos. Pure Math., vol. 32, Amer. Math. Soc., Providence, R. I., 1978, pp. 125-130. MR 520499
Review Information:
Reviewer:
Victor Snaith
Journal:
Bull. Amer. Math. Soc.
8 (1983), 117-120
DOI:
https://doi.org/10.1090/S0273-0979-1983-15100-5
