Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A nondesuspension theorem for stunted real projective spaces


Authors: Donald M. Davis and Mark Mahowald
Journal: Proc. Amer. Math. Soc. 71 (1978), 143-146
MSC: Primary 55G25; Secondary 55G05
MathSciNet review: 0474300
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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

  • [1] J. F. Adams, Vector fields on spheres, Ann. of Math. (2) 75 (1962), 603–632. MR 0139178 (25 #2614)
  • [2] Donald Davis, Generalized homology and the generalized vector field problem, Quart. J. Math. Oxford Ser. (2) 25 (1974), 169–193. MR 0356053 (50 #8524)
  • [3] Donald M. Davis, Nonexistence of axial maps, Topology and its applications (Proc. Conf., Memorial Univ. Newfoundland, St. John’s, Nfld., 1973) Dekker, New York, 1975, pp. 137–141. Lecture Notes in Pure and Appl. Math., Vol. 12. MR 0358775 (50 #11234)
  • [4] Donald M. Davis and Mark Mahowald, Obstruction theory and 𝐾-theory, Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977), II, Lecture Notes in Math., vol. 658, Springer, Berlin, 1978, pp. 134–164. MR 513571 (80g:55034)
  • [5] 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) Springer, Berlin, 1977, pp. 161–175. Lecture Notes in Math., Vol. 597. MR 0451244 (56 #9531)
  • [6] 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
  • [7] 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 0248811 (40 #2061)
  • [8] 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 (50 #1235)
  • [9] Hirosi Toda, Composition methods in homotopy groups of spheres, Annals of Mathematics Studies, No. 49, Princeton University Press, Princeton, N.J., 1962. MR 0143217 (26 #777)

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

DOI: http://dx.doi.org/10.1090/S0002-9939-1978-0474300-1
PII: S 0002-9939(1978)0474300-1
Keywords: Suspension, projective space, geometric dimension, Adams operations
Article copyright: © Copyright 1978 American Mathematical Society