Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1566905
Full text of review:
PDF
This review is available free of charge.
Book Information:
Author:
Brayton Gray
Title:
Homotopy theory; an introduction to algebraic topology
Additional book information:
Academic Press, New York, 1976, xiii + 368 pp., $22.00.
J. W. Alexander II, A proof of the invariance of certain constants of analysis situs, Trans. Amer. Math. Soc. 16 (1915), no. 2, 148–154. MR 1501007, DOI 10.1090/S0002-9947-1915-1501007-5
A. L. Blakers and W. S. Massey, The homotopy groups of a triad. II, Ann. of Math. (2) 55 (1952), 192–201. MR 44836, DOI 10.2307/1969428
3. H. Cartan, Séminaire de l'École Normale Supérieure, 1954/55, Algèbres d'EilenbergMac Lane et homotopie, Secrétariat mathématique, Paris, 1955. MR 19, 438.
Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, N.J., 1952. MR 0050886
5. H. Freudenthal, Über die Klassen von Spharenabbildungen, Compositio Math. 5 (1937), 299-314.
Heinz Hopf, Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche, Math. Ann. 104 (1931), no. 1, 637–665 (German). MR 1512691, DOI 10.1007/BF01457962
7. W. Hurewicz, Beitränge zur Topologie de Deformationen. I, Hoherdimensionale Homotopiegruppen, Prok. Akad. Wetensch. Amsterdam 38 (1935), 112-119.
John Milnor, Two complexes which are homeomorphic but combinatorially distinct, Ann. of Math. (2) 74 (1961), 575–590. MR 133127, DOI 10.2307/1970299
9. H. Poincaré, Analysis situs, J. École Polytech. Paris (2) 1 (1895), 1-123.
Jean-Pierre Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425–505 (French). MR 45386, DOI 10.2307/1969485
I. M. Singer and John A. Thorpe, Lecture notes on elementary topology and geometry, Scott, Foresman & Co., Glenview, Ill., 1967. MR 0213982
John R. Stallings, On infinite processes leading to differentiability in the complement of a point, Differential and Combinatorial Topology (A Symposium in Honor of Marston Morse), Princeton Univ. Press, Princeton, N.J., 1965, pp. 245–254. MR 0180983
13. D. Sullivan, Geometric topology, Seminar Notes, Princeton Mimeo, 1967.
- 1.
- J. W. Alexander, A proof of the invariance of certain constants of analysis situs, Trans. Amer. Math. Soc. 16 (1915), 148-154. MR 1501007
- 2.
- A. L. Blakers and W. S. Massey, The homotopy groups of a triad. II, Ann. of Math. (2) 55 (1952), 192-201. MR 13, 485. MR 44836
- 3.
- H. Cartan, Séminaire de l'École Normale Supérieure, 1954/55, Algèbres d'EilenbergMac Lane et homotopie, Secrétariat mathématique, Paris, 1955. MR 19, 438.
- 4.
- S. Eilenberg and N. E. Steenrod, Foundations of algebraic topology, Princeton Univ. Press, Princeton, N. J., 1952. MR 14, 398. MR 50886
- 5.
- H. Freudenthal, Über die Klassen von Spharenabbildungen, Compositio Math. 5 (1937), 299-314.
- 6.
- H. Hopf, Über die Abbildungen de driedimensionalen Sphere auf de Kugelfläche, Math. Ann. 104 (1931), 637-665. MR 1512691
- 7.
- W. Hurewicz, Beitränge zur Topologie de Deformationen. I, Hoherdimensionale Homotopiegruppen, Prok. Akad. Wetensch. Amsterdam 38 (1935), 112-119.
- 8.
- J. W. Milnor, Two complexes which are homeomorphic but combinatorially distinct, Ann. of Math. (2) 74 (1961), 575-590. MR 24 #A2961; erratum, 25, p. 1242. MR 133127
- 9.
- H. Poincaré, Analysis situs, J. École Polytech. Paris (2) 1 (1895), 1-123.
- 10.
- J.-P. Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425-505. MR 13, 574. MR 45386
- 11.
- I. M. Singer and J. A. Thorpe, Lecture notes on elementary topology and geometry, Scott, Foresman, Glenview, Ill., 1967. MR 35 #4834. MR 213982
- 12.
- J. R. Stallings, On infinite processes leading to differentiability in the complement of a point, Differential and Combinatorial Topology (A Sympos. in Honor of Marston Morse), Princeton Univ. Press, Princeton, N. J., 1965, pp. 245-254. MR 31 #5213. MR 180983
- 13.
- D. Sullivan, Geometric topology, Seminar Notes, Princeton Mimeo, 1967.
Review Information:
Reviewer:
Larry Smith
Journal:
Bull. Amer. Math. Soc.
82 (1976), 820-824
DOI:
https://doi.org/10.1090/S0002-9904-1976-14171-7
