Evaluation subgroups and G-sequences

Moo Woo

Banach Center Publications (1999)

  • Volume: 49, Issue: 1, page 259-268
  • ISSN: 0137-6934

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Woo, Moo. "Evaluation subgroups and G-sequences." Banach Center Publications 49.1 (1999): 259-268. <http://eudml.org/doc/208966>.

@article{Woo1999,
author = {Woo, Moo},
journal = {Banach Center Publications},
keywords = {G-sequence; ω-homology; evaluation subgroup; relative evaluation subgroup; generalized evaluation subgroup; Gottlieb groups},
language = {eng},
number = {1},
pages = {259-268},
title = {Evaluation subgroups and G-sequences},
url = {http://eudml.org/doc/208966},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Woo, Moo
TI - Evaluation subgroups and G-sequences
JO - Banach Center Publications
PY - 1999
VL - 49
IS - 1
SP - 259
EP - 268
LA - eng
KW - G-sequence; ω-homology; evaluation subgroup; relative evaluation subgroup; generalized evaluation subgroup; Gottlieb groups
UR - http://eudml.org/doc/208966
ER -

References

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  1. [1] R. F. Brown, The Lefschetz Fixed Point Theorem, Scott-Foresman, Chicago, 1971. Zbl0216.19601
  2. [2] D. H. Gottlieb, A certain subgroup of the fundamental group, Amer. J. Math. 87 (1965) 840-856. Zbl0148.17106
  3. [3] D. H. Gottlieb, Evaluation subgroups of homotopy groups, Amer. J. Math. 91 (1968) 729-756. Zbl0185.27102
  4. [4] D. H. Gottlieb, Covering transformations and universal fibrations, Illinois J. Math. 13 (1969), 432-437. Zbl0169.54803
  5. [5] B. J. Jiang, Estimation of the Nielsen numbers, Chinese Math. 5 (1964) 330-339. 
  6. [6] J. R. Kim and M. H. Woo, Certain subgroups of homotopy groups, J. Korean Math. Soc. 21 (1984) 109-120. Zbl0559.55017
  7. [7] G. E. Lang, Jr. Evaluation subgroups of factor spaces, Pacific J. Math. 42 (1972) 701-709. Zbl0244.55018
  8. [8] K. Y. Lee and M. H. Woo, The relative evaluation subgroups of a CW-pair, J. Korean Math. Soc. 25 (1988) 149-160. Zbl0647.55010
  9. [9] K. Y. Lee and M. H. Woo, Homology and generalized evaluation subgroups of homotopy groups, J. Korean Math. Soc. 25 (1988) 333-342. Zbl0657.55018
  10. [10] K. Y. Lee and M. H. Woo, Exact G-sequences and relative G-pairs, J. Korean Math. Soc. 27 (1990) 177-184. Zbl0721.55009
  11. [11] K. Y. Lee and M. H. Woo, The G-sequence and ω-homology of a CW-pair, Topology Appl. 52 (1993) 221-236. Zbl0792.55006
  12. [12] K. Y. Lee and M. H. Woo, The generalized evaluation subgroups of product spaces relative to a factor, Proc. Amer. Math. Soc. 124 (1996) 2255-2260. Zbl0859.55013
  13. [13] K. L. Lim, On cyclic maps, J. Austral. Math. Soc. Ser. A 32 (1982) 349-357. Zbl0489.55010
  14. [14] N. Oda, The homotopy set of the axes of pairings, Canad. J. Math. 42 (1990) 856-868. Zbl0716.55012
  15. [15] J. Oprea, Gottlieb groups, group actions, fixed points and rational homotopy, preprint. Zbl0834.55001
  16. [16] J. Z. Pan, X. Shen and M. H. Woo, The G-sequence of a map and a CW-pair with nontrivial ω-homology, to appear. 
  17. [17] J. Pak and M. H. Woo, A remark on G-sequences, Math. Japonica, to appear. 
  18. [18] J. Siegel, G-spaces, W-spaces, H-spaces, Pacific J. Math. 31 (1969) 209-214. Zbl0183.51701
  19. [19] K. Varadarajan, Generalized Gottlieb groups, J. Indian Math. Soc. 33 (1969) 141-164. Zbl0199.26501
  20. [20] G. W. Whitehead, Elements of Homotopy Theory, Springer-Verlag, New York, 1978. Zbl0406.55001
  21. [21] M. H. Woo and Y. S. Yoon, T-spaces by the Gottlieb groups and its duality, J. Austral. Math. Soc. (Series A) 58 (1995) 1-11. 
  22. [22] X. Zhao, Realization of fixed point sets, Acta Math. Sinica 12 (1996) 71-76. Zbl0845.55006

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