Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 

 

Axiomatic approach to the homotopy groups


Author: Sze-Tsen Hu
Journal: Bull. Amer. Math. Soc. 62 (1956), 490-504
MathSciNet review: 0080304
Full-text PDF

References | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. A. L. Blakers and W. S. Massey, The homotopy groups of a triad. I, Ann. of Math. (2) 53 (1951), 161–205. MR 0038654
  • 2. Samuel Eilenberg and Norman E. Steenrod, Axiomatic approach to homology theory, Proc. Nat. Acad. Sci. U. S. A. 31 (1945), 117–120. MR 0012228
  • 3. Hans Freudenthal, Über die Klassen der Sphärenabbildungen I. Große Dimensionen, Compositio Math. 5 (1938), 299–314 (German). MR 1556999
  • 4. Heinz Hopf, Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche, Math. Ann. 104 (1931), no. 1, 637–665 (German). MR 1512691, 10.1007/BF01457962
  • 5. Sze-tsen Hu, An exposition of the relative homotopy theory, Duke Math. J. 14 (1947), 991–1033. MR 0023052
  • 6. Sze-Tsen Hu, Homotopy properties of the space of continuous paths. II. The general case with arbitrary boundary sets, Portugaliae Math. 11 (1952), 41–50. MR 0049558
  • 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 fibre spaces, Proc. Nat. Acad. Sci. U. S. A. 27 (1941), 60–64. MR 0004122
  • 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. Jean-Pierre Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425–505 (French). MR 0045386
  • 12. E. Spanier, Borsuk’s cohomotopy groups, Ann. of Math. (2) 50 (1949), 203–245. MR 0029170
  • 13. N. E. Steenrod, Topology of fibre bundles, Princeton Math. Series, no. 14, 1951.
  • 14. Heinrich Tietze, Über die topologischen Invarianten mehrdimensionaler Mannigfaltigkeiten, Monatsh. Math. Phys. 19 (1908), no. 1, 1–118 (German). MR 1547755, 10.1007/BF01736688
  • 15. J. H. C. Whitehead, On adding relations to homotopy groups, Ann. of Math. (2) 42 (1941), 409–428. MR 0004123
  • 16. J. H. C. Whitehead, On the groups π, Proc. London Math. Soc. (2) vol. 48 (1944) pp. 243-291.
  • 17. John Milnor, Construction of universal bundles. I, Ann. of Math. (2) 63 (1956), 272–284. MR 0077122


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1956-10038-4