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Book Information:
Authors:
Akira Kono and
Dai Tamaki
Title:
Generalized cohomology
Additional book information:
Translations of Mathematical Monographs, vol. 230, American Mathematical Society,
Providence, RI,
2006,
xi+254 pp.,
ISBN 978-0-8218-3514-2,
US$49.00$
1. Adams, J.F., Collected Works, Cambridge University Press, 1992.
Michael Atiyah, Collected works. Vol. 1, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1988. Early papers: general papers. MR 951892
3. -, Colloquium on Algebraic Topology, Aarhus Universitet, 1962.
P. E. Conner and E. E. Floyd, Differentiable periodic maps, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 33, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1964. MR 0176478
F. Hirzebruch, Topological methods in algebraic geometry, Third enlarged edition, Die Grundlehren der mathematischen Wissenschaften, Band 131, Springer-Verlag New York, Inc., New York, 1966. New appendix and translation from the second German edition by R. L. E. Schwarzenberger, with an additional section by A. Borel. MR 0202713
Dale Husemoller, Fibre bundles, McGraw-Hill Book Co., New York-London-Sydney, 1966. MR 0229247
J. P. May, Stable algebraic topology, 1945–1966, History of topology, North-Holland, Amsterdam, 1999, pp. 665–723. MR 1721119, DOI 10.1016/B978-044482375-5/50025-0
John W. Milnor and James D. Stasheff, Characteristic classes, Annals of Mathematics Studies, No. 76, Princeton University Press, Princeton, N. J.; University of Tokyo Press, Tokyo, 1974. MR 0440554
Daniel Quillen, On the formal group laws of unoriented and complex cobordism theory, Bull. Amer. Math. Soc. 75 (1969), 1293–1298. MR 253350, DOI 10.1090/S0002-9904-1969-12401-8
10. Ravenel, D.C., Complex Cobordism and Stable Homotopy Groups of Spheres, American Mathematical Society-Chelsea, 2004.
Yuli B. Rudyak, On Thom spectra, orientability, and cobordism, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 1998. With a foreword by Haynes Miller. MR 1627486
Robert E. Stong, Notes on cobordism theory, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1968. Mathematical notes. MR 0248858
Dennis Sullivan, René Thom’s work on geometric homology and bordism, Bull. Amer. Math. Soc. (N.S.) 41 (2004), no. 3, 341–350. MR 2058291, DOI 10.1090/S0273-0979-04-01026-2
Robert M. Switzer, Algebraic topology—homotopy and homology, Die Grundlehren der mathematischen Wissenschaften, Band 212, Springer-Verlag, New York-Heidelberg, 1975. MR 0385836
George W. Whitehead, Recent advances in homotopy theory, Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 5, American Mathematical Society, Providence, R.I., 1970. MR 0309097
- 1.
- Adams, J.F., Collected Works, Cambridge University Press, 1992.
- 2.
- Atiyah, M., Collected Works, Vol. I, Vol. II, Oxford University Press, 1988. MR 0951892, MR 0951893 (91h:01094b)
- 3.
- -, Colloquium on Algebraic Topology, Aarhus Universitet, 1962.
- 4.
- Conner, P.E., and Floyd, E.E., Differentiable Periodic Maps, Springer-Verlag, 1964; The Relation of Cobordism to
-theories, Springer Lecture Notes, 28, 1966. MR 0176478, MR 0216511 (35:7344)
- 5.
- Hirzebruch, F., Topological Methods in Algebraic Geometry, Springer-Verlag, 1966. MR 0202713
- 6.
- Husemoller, D., Fibre Bundles, McGraw-Hill, 1966. MR 0229247
- 7.
- May, J.P., Stable algebraic topology, 1945-1966, History of Topology, North-Holland, 1999. MR 1721119
- 8.
- Milnor, J.W., and Stasheff, J.D., Characteristic Classes, Princeton University Press, 1974. MR 0440554
- 9.
- Quillen, D., On the formal group laws of unoriented and complex cobordism theory, BAMS 75 (1969), 1293-1298. MR 0253350
- 10.
- Ravenel, D.C., Complex Cobordism and Stable Homotopy Groups of Spheres, American Mathematical Society-Chelsea, 2004.
- 11.
- Rudyak, Y., On Thom Spectra, Orientability, and Cobordism, Springer-Verlag, 1998. MR 1627486
- 12.
- Stong, R.E., Notes on Cobordism Theory, Princeton University Press, 1968. MR 0248858
- 13.
- Sullivan, D.P., René Thom's work on geometric homology and bordism, BAMS 41 (2004), 341-350. MR 2058291
- 14.
- Switzer, R.M., Algebraic Topology--Homotopy and Homology, Springer-Verlag, 1975. MR 0385836
- 15.
- Whitehead, G.W., Recent Advances in Homotopy Theory, American Mathematical Society, 1970. MR 0309097
Review Information:
Reviewer:
John R. Harper
Affiliation:
University of Rochester
Email:
harper@math.rochester.edu
Journal:
Bull. Amer. Math. Soc.
45 (2008), 309-314
DOI:
https://doi.org/10.1090/S0273-0979-07-01161-5
Published electronically:
May 2, 2007
Review copyright:
© Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
