Book Review
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MathSciNet review:
1567925
Full text of review:
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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.
Michael Hartley Freedman, A fake $S^{3}\times \textbf {R}$, Ann. of Math. (2) 110 (1979), no. 1, 177–201. MR 541336, DOI 10.2307/1971257
Michael Hartley Freedman, The topology of four-dimensional manifolds, J. Differential Geometry 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.
John Milnor, On simply connected $4$-manifolds, Symposium internacional de topología algebraica International symposium on algebraic topology, Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958, pp. 122–128. MR 0103472
Laurent Siebenmann, Amorces de la chirurgie en dimension quatre: un $S^{3}\times \textbf {R}$ 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
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
C. T. C. Wall, Diffeomorphisms of $4$-manifolds, J. London Math. Soc. 39 (1964), 131–140. MR 163323, DOI 10.1112/jlms/s1-39.1.131
C. T. C. Wall, On simply-connected $4$-manifolds, J. London Math. Soc. 39 (1964), 141–149. MR 163324, DOI 10.1112/jlms/s1-39.1.141
J. H. C. Whitehead, On simply connected, $4$-dimensional polyhedra, Comment. Math. Helv. 22 (1949), 48–92. MR 29171, DOI 10.1007/BF02568048
- 1.
- M. H. Freedman, A fake S, Ann. of Math. 110 (1979), 177-201. MR 0541336
- 2.
- M. H. Freedman, The topology of 4-manifolds, J. Differential Geom. 17 (1982), 357-454. 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.
- J. Milnor, On simply connected 4-manifolds, Proc. Int. Symp. Algebraic Topology, Mexico, 1958, pp. 122-128. MR 103472
- 5.
- L. Siebenmann, Amorces de la chirurgie en dimension 4, un S, (d'apres A. Casson et M. Freedman), Séminaire Bourbaki (1979-80), Exp. 536, Lecture Notes in Math., vol. 770, Springer-Verlag, Berlin, New York, 1980, pp. 183-207. MR 572425
- 6.
- L. Siebenmann, La conjecture de Poincaré topologique en dimension 4, (d'apres M. H. Freedman), Séminaire Bourbaki (1981-82), Exp. 588, Astérisque, no. 92-93, Soc. Math. France, Paris, 1982, pp. 219-248. MR 689532
- 7.
- C. T. C. Wall, Diffeomorphisms of 4-manifolds, J. London Math. Soc. 39 (1964), 131-140. MR 163323
- 8.
- C. T. C. Wall, On simply connected 4-manifolds, J. London Math. Soc. 39 (1964), 141-149. MR 163324
- 9.
- J. H. C. Whitehead, On simply connected 4-dimensional polyhedra, Comm. Math. Helv. 22 (1949), 48-92. MR 29171
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
