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Axiomatic approach to the homotopy groups
Author(s):
Sze-Tsen
Hu
Journal:
Bull. Amer. Math. Soc.
62
(1956),
490-504.
MathSciNet review:
0080304
Retrieve article in:
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References |
Additional information
References:
- 1.
- A. L. Blakers and W. S. Massey, The homotopy groups of a triad. I, Ann. of Math. vol. 53 (1951) pp. 161-205. MR 38654
- 2.
- S. Eilenberg and N. E. Steenrod, Axiomatic approach to homology theory, Proc. Nat. Acad. Sci. U.S.A. vol. 31 (1945) pp. 117-120. MR 12228
- 3.
- H. Freudenthal, Über die Klassen der Sphärenabbildungen. I. Grosse Dimension, Compositio Math. vol. 5 (1938) pp. 299-314. MR 1556999
- 4.
- H. Hopf, Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche, Math. Ann. vol. 104 (1931) pp. 637-665. MR 1512691
- 5.
- S. T. Hu, An exposition of the relative homotopy theory, Duke Math. J. vol. 14 (1947) pp. 991-1033. MR 23052
- 6.
- S. T. Hu, Homotopy properties of the space of continuous paths. II. The general case with arbitrary boundary sets, Portugaliae Mathematica vol. 11 (1952) pp. 41-50. MR 49558
- 7.
- W. Hurewicz, Beiträge zur Topologie der Deformationen. I-IV, Koninklijke Nederlandsche Akademie van Wetenschappen, Proceedings vol. 38 (1935) pp. 112-119, 521-528, vol. 39 (1936) pp. 117-126, 215-224.
- 8.
- W. Hurewicz and N. E. Steenrod, Homotopy relations in fiber spaces, Proc. Nat. Acad. Sci. U.S.A. vol. 27 (1941) pp. 60-64. MR 4122
- 9.
- H. Poincaré, Analysis situs, J. École Polytech. (2) vol. 1 (1892) pp. 1-121.
- 10.
- H. Poincaré, 5e Complement à l'analysis situs, Rend. Circ. Mat. Palermo vol. 18 (1904) pp. 45-110.
- 11.
- J.-P. Serre, Homologie singulière des espaces fibres, Ann. of Math. (2) vol. 54 (1951) pp. 425-505. MR 45386
- 12.
- E. H. Spanier, Borsuk's cohomotopy groups, Ann. of Math. (2) vol. 50 (1949) pp. 203-245. MR 29170
- 13.
- N. E. Steenrod, Topology of fibre bundles, Princeton Math. Series, no. 14, 1951.
- 14.
- H. Tietze, Über die topologischen Invarianten mehrdimensionalen Mannigfaltigkeiten, Monatshefte für Mathematik und Physik vol. 19 (1908) pp. 1-118. MR 1547755
- 15.
- J. H. C. Whitehead, On adding relations to homotopy groups, Ann. of Math. (2) vol. 42 (1941) pp. 409-428. MR 4123
- 16.
- J. H. C. Whitehead, On the groups π, Proc. London Math. Soc. (2) vol. 48 (1944) pp. 243-291.
- 17.
- J. Milnor, Construction of universal bundles, I, Ann. of Math. vol. 63 (1956) pp. 272-284 (added in proof). MR 77122
Additional Information:
DOI:
10.1090/S0002-9904-1956-10038-4
PII:
S 0002-9904(1956)10038-4
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