Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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.

 

A nondesuspension theorem for stunted real projective spaces
HTML articles powered by AMS MathViewer

by Donald M. Davis and Mark Mahowald PDF
Proc. Amer. Math. Soc. 71 (1978), 143-146 Request permission

Abstract:

For certain stunted projective spaces P and positive integers n, it is shown that P cannot be homotopy equivalent to the n-fold suspension of some other complex.
References
  • J. F. Adams, Vector fields on spheres, Ann. of Math. (2) 75 (1962), 603–632. MR 139178, DOI 10.2307/1970213
  • Donald Davis, Generalized homology and the generalized vector field problem, Quart. J. Math. Oxford Ser. (2) 25 (1974), 169–193. MR 356053, DOI 10.1093/qmath/25.1.169
  • Donald M. Davis, Nonexistence of axial maps, Topology and its applications (Proc. Conf., Memorial Univ. Newfoundland, St. John’s, Nfld., 1973) Lecture Notes in Pure and Appl. Math., Vol. 12, Dekker, New York, 1975, pp. 137–141. MR 0358775
  • Donald M. Davis and Mark Mahowald, Obstruction theory and $K$-theory, Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977) Lecture Notes in Math., vol. 658, Springer, Berlin, 1978, pp. 134–164. MR 513571
  • S. Feder and W. Iberkleid, Secondary operations in $K$-theory and the generalized vector field problem, Geometry and topology (Proc. III Latin Amer. School of Math., Inst. Mat. Pura Aplicada CNPq, Rio de Janeiro, 1976) Lecture Notes in Math., Vol. 597, Springer, Berlin, 1977, pp. 161–175. MR 0451244
  • Mark Mahowald, On the unstable $J$-homomorphism, Conference on homotopy theory (Evanston, Ill., 1974) Notas Mat. Simpos., vol. 1, Soc. Mat. Mexicana, México, 1975, pp. 103–109. MR 761723
  • R. James Milgram, The structure over the Steenrod algebra of some $2$-stage Postnikov systems, Quart. J. Math. Oxford Ser. (2) 20 (1969), 161–169. MR 248811, DOI 10.1093/qmath/20.1.161
  • R. James Milgram, Unstable homotopy from the stable point of view, Lecture Notes in Mathematics, Vol. 368, Springer-Verlag, Berlin-New York, 1974. MR 0348740
  • Hirosi Toda, Composition methods in homotopy groups of spheres, Annals of Mathematics Studies, No. 49, Princeton University Press, Princeton, N.J., 1962. MR 0143217
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55G25, 55G05
  • Retrieve articles in all journals with MSC: 55G25, 55G05
Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 71 (1978), 143-146
  • MSC: Primary 55G25; Secondary 55G05
  • DOI: https://doi.org/10.1090/S0002-9939-1978-0474300-1
  • MathSciNet review: 0474300