Book Review
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MathSciNet review:
1568085
Full text of review:
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Book Information:
Author:
Antoni A. Kosinski
Title:
Differential manifolds
Additional book information:
Academic Press, New York, 1992, xvi + 248 pp. ISBN 0-12-421850-4.
Theodor Bröcker and Klaus Jänich, Introduction to differential topology, Cambridge University Press, Cambridge-New York, 1982. Translated from the German by C. B. Thomas and M. J. Thomas. MR 674117
Jean Dieudonné, A history of algebraic and differential topology. 1900–1960, Birkhäuser Boston, Inc., Boston, MA, 1989. MR 995842
Victor Guillemin and Alan Pollack, Differential topology, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1974. MR 0348781
Morris W. Hirsch, Differential topology, Graduate Texts in Mathematics, No. 33, Springer-Verlag, New York-Heidelberg, 1976. MR 0448362
Michel A. Kervaire and John W. Milnor, Groups of homotopy spheres. I, Ann. of Math. (2) 77 (1963), 504–537. MR 148075, DOI 10.1090/S0273-0979-2015-01504-1
J. Milnor, Morse theory, Annals of Mathematics Studies, No. 51, Princeton University Press, Princeton, N.J., 1963. Based on lecture notes by M. Spivak and R. Wells. MR 0163331
John Milnor, On manifolds homeomorphic to the $7$-sphere, Ann. of Math. (2) 64 (1956), 399–405. MR 82103, DOI 10.2307/1969983
Stephen Smale, The generalized Poincaré conjecture in higher dimensions, Bull. Amer. Math. Soc. 66 (1960), 373–375. MR 124912, DOI 10.1090/S0002-9904-1960-10458-2
[10] A. Wallace, Differential topology, W. A. Benjamin, New York, 1968.
Hassler Whitney, Differentiable manifolds, Ann. of Math. (2) 37 (1936), no. 3, 645–680. MR 1503303, DOI 10.2307/1968482
Allen Shields, Years ago, Math. Intelligencer 9 (1987), no. 3, 5–7. MR 895769, DOI 10.1007/BF03023946
- [1]
- Th. Brocker and K. Janich, Introduction to differential topology, Cambridge Univ. Press, Cambridge, 1982. MR 674117 (83i:58001)
- [2]
- J. Dieudonné, A history of algebraic and differential topology 1900-1960, Birkhäuser, Boston, MA, 1989. MR 995842 (90g:01029)
- [3]
- V. Guillemin and A. Pollack, Differential topology, Prentice Hall, Engelwood Cliffs, NJ, 1974. MR 0348781 (50:1276)
- [4]
- M. W. Hirsch, Differential topology, Springer-Verlag, New York, 1976. MR 0448362 (56:6669)
- [5]
- M. Kervaire and J. Milnor, Groups of homotopy spheres, Ann. of Math. (2) 77 (1963), 504-537. MR 0148075 (26:5584)
- [6]
- J. Milnor, Morse theory, Princeton Univ. Press, Princeton, NJ, 1963. MR 0163331 (29:634)
- [7]
- -, On manifolds homeomorphic to the 7-sphere, Ann. of Math. (2) 64 (1956), 399-405. MR 0082103 (18:498d)
- [8]
- S. Smale, The generalized Poincaré conjecture in higher dimensions, Bull. Amer. Math. Soc. (N.S.) 66 (1960), 387-399. MR 0124912 (23:A2220)
- [10]
- A. Wallace, Differential topology, W. A. Benjamin, New York, 1968.
- [11]
- H. Whitney, Differentiable manifolds, Ann. of Math. (2) 37 (1936), 645-680. MR 1503303
- [12]
- A. Shields, Years ago, Math. Intelligencer 10 (1988), 5-8. MR 895769 (88h:01028)
Review Information:
Reviewer:
William M. Boothby
Journal:
Bull. Amer. Math. Soc.
30 (1994), 145-150
DOI:
https://doi.org/10.1090/S0273-0979-1994-00449-5
