Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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G(f)-SEQUENCES AND FIBRATIONS

  • Woo, Moo-Ha (Department of Mathematics Education, Korea University)
  • Published : 1997.07.01
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Abstract

For a fibration (E,B,p) with fiber F and a fiber map f, we show that if the inclusion $i : F \to E$ has a left homotopy inverse, then $G^f_n(E,F)$ is isomorphic to $G^f_n(F,E) \oplus \pi_n(B)$. In particular, by taking f as the identity map on E we have $G_n(E,F)$ is isomorphic to $G_n(F) \oplus \pi_n(B)$.

Keywords

References

  1. Amer. J. Math. v.87 A certain subgroup of the fundamental group D. H. Gottlieb
  2. Amer. J. Math. v.91 Evaluation subgroups of homotopy groups D. h. Gottlieb
  3. Homotopy theory B. Gray
  4. Pacific J. Math. v.42 Evaluation subgroups of factor spaces G. E. Lang, Jr.
  5. Top. Appl. v.52 The G-sequence and the w-homology of a CW-pair K. Y. Lee;M. H. Woo
  6. Proc. Amer. Math. Soc. v.124 Generalized evaluation subgroups of product spaces relative to a factor K. Y. Lee;M. H. Woo
  7. Comm. Korean Math. Soc. v.7 On the relative homotopy Jiang subgroups S. H. Lee
  8. J. Austral. Math. Soc. Ser. v.A32 On cyclic maps K. L. Lim
  9. Canad. J. Math. v.42 The homotopy set of the axes of pairings N. Oda
  10. Pacific J. Math. v.31 G-spaces W-spaces J. Siegel
  11. J. Indian Math. Soc. v.33 Generalized Gottlieb Groups K. Varadarajan
  12. Comm. Korean Math. Soc. v.11 A sequence of homotopy subgroups of a CW-pair M. H. Woo
  13. J. Korean Math. Soc. v.21 Certain subgroups of homotopy groups M. H. Woo;J. R. Kim
  14. J. Korean Math. Soc. v.27 Exact G-sequences and relative G-pairs M. H. Woo;K. Y. Lee
  15. J. Austral. Math. Soc(Series A) v.58 T-spaces by the Gottieb groups and its duality M. H. Woo;Y. S. Yoon