Skip to Main Content

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Axiomatic approach to the homotopy groups
HTML articles powered by AMS MathViewer

by Sze-Tsen Hu PDF
Bull. Amer. Math. Soc. 62 (1956), 490-504
References
  • A. L. Blakers and W. S. Massey, The homotopy groups of a triad. I, Ann. of Math. (2) 53 (1951), 161–205. MR 38654, DOI 10.2307/1969346
  • Samuel Eilenberg and Norman E. Steenrod, Axiomatic approach to homology theory, Proc. Nat. Acad. Sci. U.S.A. 31 (1945), 117–120. MR 12228, DOI 10.1073/pnas.31.4.117
  • Hans Freudenthal, Über die Klassen der Sphärenabbildungen I. Große Dimensionen, Compositio Math. 5 (1938), 299–314 (German). MR 1556999
  • 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
  • Sze-tsen Hu, An exposition of the relative homotopy theory, Duke Math. J. 14 (1947), 991–1033. MR 23052
  • Sze-Tsen Hu, Homotopy properties of the space of continuous paths. II. The general case with arbitrary boundary sets, Portugal. Math. 11 (1952), 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.
  • W. Hurewicz and N. E. Steenrod, Homotopy relations in fibre spaces, Proc. Nat. Acad. Sci. U.S.A. 27 (1941), 60–64. MR 4122, DOI 10.1073/pnas.27.1.60
  • 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.
  • Jean-Pierre Serre, Homologie singulière des espaces fibrés. Applications, Ann. of Math. (2) 54 (1951), 425–505 (French). MR 45386, DOI 10.2307/1969485
  • E. Spanier, Borsuk’s cohomotopy groups, Ann. of Math. (2) 50 (1949), 203–245. MR 29170, DOI 10.2307/1969362
  • 13. N. E. Steenrod, Topology of fibre bundles, Princeton Math. Series, no. 14, 1951.
  • Heinrich Tietze, Über die topologischen Invarianten mehrdimensionaler Mannigfaltigkeiten, Monatsh. Math. Phys. 19 (1908), no. 1, 1–118 (German). MR 1547755, DOI 10.1007/BF01736688
  • J. H. C. Whitehead, On adding relations to homotopy groups, Ann. of Math. (2) 42 (1941), 409–428. MR 4123, DOI 10.2307/1968907
  • 16. J. H. C. Whitehead, On the groups π, Proc. London Math. Soc. (2) vol. 48 (1944) pp. 243-291.
  • John Milnor, Construction of universal bundles. I, Ann. of Math. (2) 63 (1956), 272–284. MR 77122, DOI 10.2307/1969609
Additional Information
  • Journal: Bull. Amer. Math. Soc. 62 (1956), 490-504
  • DOI: https://doi.org/10.1090/S0002-9904-1956-10038-4
  • MathSciNet review: 0080304