Book Review
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MathSciNet review:
1567165
Full text of review:
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This review is available free of charge.
Book Information:
Author:
Max Karoubi
Title:
$K$-theory, an introduction
Additional book information:
Springer-Verlag, Berlin, Heidelberg, New York, 1978, xviii + 308 pp., $39.00.
J. F. Adams, Vector fields on spheres, Ann. of Math. (2) 75 (1962), 603–632. MR 139178, DOI 10.2307/1970213
M. F. Atiyah, R. Bott, and A. Shapiro, Clifford modules, Topology 3 (1964), no. suppl, suppl. 1, 3–38. MR 167985, DOI 10.1016/0040-9383(64)90003-5
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
M. F. Atiyah and I. M. Singer, The index of elliptic operators. I, Ann. of Math. (2) 87 (1968), 484–530. MR 236950, DOI 10.2307/1970715
Hyman Bass, Algebraic $K$-theory, W. A. Benjamin, Inc., New York-Amsterdam, 1968. MR 0249491
Armand Borel and Jean-Pierre Serre, Le théorème de Riemann-Roch, Bull. Soc. Math. France 86 (1958), 97–136 (French). MR 116022
L. G. Brown, R. G. Douglas, and P. A. Fillmore, Extensions of $C^{\ast }$-algebras, operators with compact self-commutators, and $K$-homology, Bull. Amer. Math. Soc. 79 (1973), 973–978. MR 346540, DOI 10.1090/S0002-9904-1973-13284-7
Dale Husemoller, Fibre bundles, 2nd ed., Graduate Texts in Mathematics, No. 20, Springer-Verlag, New York-Heidelberg, 1975. MR 0370578
Daniel Quillen, Higher algebraic $K$-theory. I, Algebraic $K$-theory, I: Higher $K$-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Lecture Notes in Math., Vol. 341, Springer, Berlin, 1973, pp. 85–147. MR 0338129
Richard G. Swan, Vector bundles and projective modules, Trans. Amer. Math. Soc. 105 (1962), 264–277. MR 143225, DOI 10.1090/S0002-9947-1962-0143225-6
- 1.
- J. F. Adams, Vector fields on the sphere, Ann. of Math. (2) 75 (1962), 603-632. MR 0139178
- 2.
- M. F. Atiyah, R. Bott and A. Shapiro, Clifford modules, Topology 3 (1964), 3-38. MR 167985
- 3.
- 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
- 4.
- M. F. Atiyah and I. M. Singer, The index of elliptic operators. I, II, III, Ann. of Math. (2) 87 (1968), 484-530, 531-545 (with G. Segal), 546-604. MR 236950
- 5.
- H. Bass, Algebraic K-theory, Benjamin, New York, 1968. MR 249491
- 6.
- A. Borel and J. P. Serre, Le théorème de Riemann-Roch (d'après Grothendieck), Bull. Soc. Math. France 86 (1958), 97-136. MR 116022
- 7.
- L. G. Brown, R. G. Douglas and P. A. Fillmore, Extensions of C*-algebras, operators with compact self-commutators, and K-homology, Bull. Amer. Math. Soc. 79 (1973), 973-978. MR 346540
- 8.
- D. Husemoller, Fiber bundles, 2nd ed., Springer-Verlag, Berlin, Heidelberg, New York, 1975. MR 370578
- 9.
- D. Quillen, Higher algebraic K-theory, Springer-Verlag, Berlin, Heidelberg, New York, 1973. MR 338129
- 10.
- R. G. Swan, Vector bundles and projective modules, Trans. Amer. Math. Soc. 105 (1962), 264-277. MR 143225
Review Information:
Reviewer:
Robert E. Stong
Journal:
Bull. Amer. Math. Soc.
1 (1979), 658-661
DOI:
https://doi.org/10.1090/S0273-0979-1979-14652-4
