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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

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Full text of review: PDF
Book Information:

Author: Robion C. Kirby
Title: The topology of 4-manifolds
Additional book information: Springer-Verlag, Berlin, New York, 1989, 106 pp., $13.50. ISBN 3-540-51148-2.

References [Enhancements On Off] (What's this?)

  • 1. Michael Hartley Freedman, A fake 𝑆³×𝑅, Ann. of Math. (2) 110 (1979), no. 1, 177–201. MR 541336, 10.2307/1971257
  • 2. Michael Hartley Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982), no. 3, 357–453. MR 679066
  • 3. M. H. Freedman and R. C. Kirby, A geometric proof of Rochlin's theorem, Proc. Sympos. Pure Math., vol. 32, part 2, Amer. Math. Soc. Providence, RI, 1978, pp. 85-98.
  • 4. John Milnor, On simply connected 4-manifolds, Symposium internacional de topología algebraica International symposi um on algebraic topology, Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958, pp. 122–128. MR 0103472
  • 5. Laurent Siebenmann, Amorces de la chirurgie en dimension quatre: un 𝑆³×𝑅 exotique [d’après Andrew H. Casson et Michael H. Freedman], Séminaire Bourbaki (1978/79), Lecture Notes in Math., vol. 770, Springer, Berlin, 1980, pp. Exp. No. 536, pp. 183–207 (French). MR 572425
  • 6. Laurent Siebenmann, La conjecture de Poincaré topologique en dimension 4 (d’après M. H. Freedman), Bourbaki Seminar, Vol. 1981/1982, Astérisque, vol. 92, Soc. Math. France, Paris, 1982, pp. 219–248 (French). MR 689532
  • 7. C. T. C. Wall, Diffeomorphisms of 4-manifolds, J. London Math. Soc. 39 (1964), 131–140. MR 0163323
  • 8. C. T. C. Wall, On simply-connected 4-manifolds, J. London Math. Soc. 39 (1964), 141–149. MR 0163324
  • 9. J. H. C. Whitehead, On simply connected, 4-dimensional polyhedra, Comment. Math. Helv. 22 (1949), 48–92. MR 0029171

Review Information:

Reviewer: Laurence R. Taylor
Journal: Bull. Amer. Math. Soc. 24 (1991), 466-471
DOI: https://doi.org/10.1090/S0273-0979-1991-16068-4