Book Review
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MathSciNet review:
1568144
Full text of review:
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Book Information:
Author:
Geoffrey Hemion
Title:
The classification of knots and 3-dimensional spaces
Additional book information:
Oxford University Press, New York, 1992, 162 pp., US$43.50. ISBN 0-19-859697-9.
Colin C. Adams, The knot book, W. H. Freeman and Company, New York, 1994. An elementary introduction to the mathematical theory of knots. MR 1266837
Gerhard Burde and Heiner Zieschang, Knots, De Gruyter Studies in Mathematics, vol. 5, Walter de Gruyter & Co., Berlin, 1985. MR 808776
Wolfgang Haken, Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I, Math. Z. 80 (1962), 89–120 (German). MR 160196, DOI 10.1007/BF01162369
Geoffrey Hemion, On the classification of homeomorphisms of $2$-manifolds and the classification of $3$-manifolds, Acta Math. 142 (1979), no. 1-2, 123–155. MR 512214, DOI 10.1007/BF02395059
Vaughan F. R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. (N.S.) 12 (1985), no. 1, 103–111. MR 766964, DOI 10.1090/S0273-0979-1985-15304-2
[K] Louis Kauffman, On knots, Ann. of Math. Stud., vol. 115, Princeton Univ. Press, Princeton, NJ, 1987.
Kenneth A. Perko Jr., On the classification of knots, Proc. Amer. Math. Soc. 45 (1974), 262–266. MR 353294, DOI 10.1090/S0002-9939-1974-0353294-X
Dale Rolfsen, Knots and links, Mathematics Lecture Series, No. 7, Publish or Perish, Inc., Berkeley, Calif., 1976. MR 0515288
Friedhelm Waldhausen, Recent results on sufficiently large $3$-manifolds, Algebraic and geometric topology (Proc. Sympos. Pure Math., Stanford Univ., Stanford, Calif., 1976) Proc. Sympos. Pure Math., XXXII, Amer. Math. Soc., Providence, R.I., 1978, pp. 21–38. MR 520520
[We] Jeffrey Weeks, SNAPPEA, Geometry Supercomputer Project, Minneapolis, MN, 1992.
- [A]
- Colin Adams, The knot book, An elementary introduction to the mathematical theory of knots, W. H. Freeman, San Francisco, CA, 1994. MR 1266837 (94m:57007)
- [BZ]
- Gerhard Burde and Heiner Zieschang, Knots, Walter de Gruyter, New York, 1985. MR 808776 (87b:57004)
- [H]
- W. Haken, Über das Homöomorphieproblem der 3-Mannigfaltigkeiten. I, Math. Z. 80 (1962), 89-120. MR 0160196 (28:3410)
- [He]
- Geoffrey Hemion, On the classification of homeomorphisms of 2-manifolds and the classification of 3-manifolds, Acta Math. 142 (1979). MR 512214 (80f:57003)
- [J]
- V. F. R. Jones, A polynomial invariant for knots and links via von Neumann algebras, Bull. Amer. Math. Soc. (N.S.) 12 (1985), 103-111. MR 766964 (86e:57006)
- [K]
- Louis Kauffman, On knots, Ann. of Math. Stud., vol. 115, Princeton Univ. Press, Princeton, NJ, 1987.
- [P]
- K. Perko, On the classification of knots, Proc. Amer. Math. Soc. 45 (1974), 262-266. MR 0353294 (50:5778)
- [R]
- Dale Rolfson, Knots and links, Publish or Perish, Houston, 1976. MR 0515288 (58:24236)
- [W]
- Friedhelm Waldhausen, Recent results on sufficiently large 3-manifolds, Proc. Sympos. Pure Math., vol. 32, Amer. Math. Soc., Providence, RI, 1979, pp. 21-37. MR 520520 (80e:57010)
- [We]
- Jeffrey Weeks, SNAPPEA, Geometry Supercomputer Project, Minneapolis, MN, 1992.
Review Information:
Reviewer:
Abigail Thompson
Journal:
Bull. Amer. Math. Soc.
31 (1994), 252-254
DOI:
https://doi.org/10.1090/S0273-0979-1994-00510-5
