ONCE IN CLASS WITH SAM (original) (raw)

1995, Contemporary Mathematics

Abstract

Delicate and novel analysis of a modified Postnikov tower is used to show that the geometric dimension of 36 times the Hopf bundle over plO is greater than 6.

Key takeaways

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  1. The geometric dimension of 36 times the Hopf bundle over plO exceeds 6.
  2. Utilize modified Postnikov towers for novel homotopical analysis.
  3. K-invariants are integral for understanding Eilenberg MacLane spaces.
  4. Hypothesis conditions in Lemma 5 reveal significant lifting properties.
  5. The analysis concludes with Proposition 1 related to the lifting of mappings.

Figures (1)

Here K,, is the Bilenberg MacLane space with homotopy Z2 in dimension n. The k-invariants are defined by the following relations.

Here K,, is the Bilenberg MacLane space with homotopy Z2 in dimension n. The k-invariants are defined by the following relations.

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References (10)

  1. J. F. Adams, Geometric dimension of bundles over RP 11 , Proc. of Int. Conf. on Prospects in Math., RIMS , Kyoto Univ. (1973) 1-17.
  2. L. Astey, Geometric dimension of bundles over• real projective spaces, Quar. Jour. Math. Oxford 31 (1980) 139-155.
  3. D. M. Davis , A strong nonimmersion theorem for real projective spaces, Annals of ti.fath 120 (1984) 517-528.
  4. S. Gitler and rvf. lvlahowald, The geometric dimensiori of real stable vector bundles, Bol. Soc. Mat. ~lex. (1966) 85-107.
  5. _ _ _ _ The geometric dimension of 1'tal stable vector bundles, Addendum, Bo!. Soc. ~lat. ~lex. (1967) 32-34.
  6. G. F. Paechtcr, The groups 1ri(\-';1,m) f Quar. Jour. tvlath. Oxford 7 (1956) 249-268.
  7. E. Thomas , Seminar on fiber spaces, Lecture Notes in Math., Springer Verlag 13 (1966).
  8. H. Toda, Composition methods in homotopy groups of spheres, Annals of rviath Studies, Princeton Univ. Press (1962).
  9. C'INVESTAV. DEPARTA~IENTO DE i\lATEM,\.TIC'AS. APoo. POST,\L l"'-740. 07000. i\lEXICO.
  10. F.