Acknowledgement
Supported by : Korea University
References
- D. H. Gottlieb, A certain subgroup of the fundamental group, Amer. J. Math. 87 (1965), 840-856. https://doi.org/10.2307/2373248
- D. H. Gottlieb, Evaluation subgroups of homotopy groups, Amer. J. Math. 91 (1969), 729-756. https://doi.org/10.2307/2373349
- P. Hilton, Homotopy Theory and Duality, Gordon and Breach Science Publishers, New York, 1965.
- J. Kim and K. Y. Lee, Gottlieb subsets with respect to a morphism in the category of pairs, Bull. Korean Math. Soc. 47 (2010), no. 6, 1311-1327. https://doi.org/10.4134/BKMS.2010.47.6.1311
- K. Y. Lee and M. H. Woo, Cyclic morphisms in the category of pairs and generalized G-sequences, J. Math. Kyoto Univ. 38 (1998), no. 2, 271-285. https://doi.org/10.1215/kjm/1250518118
- K. Y. Lee and M. H. Woo, Cocyclic morphisms and dual G-sequences, Topology Appl. 116 (2001), no. 1, 123-136. https://doi.org/10.1016/S0166-8641(00)00081-X
- K. L. Lim, Cocyclic maps and coevaluation subgroups, Canad. Math. Bull. 30 (1987), no. 1, 63-71. https://doi.org/10.4153/CMB-1987-009-1
- J. Z. Pan and M. H. Woo, Exactness of G-sequences and monomorphisms, Topology Appl. 109 (2001), no. 3, 315-320. https://doi.org/10.1016/S0166-8641(99)00178-9
- K. Varadarajan, Generalised Gottlieb groups, J. Indian Math. Soc. (N.S.) 33 (1969), 141-164 (1970).
- M. H. Woo and J.-R. Kim, Certain subgroups of homotopy groups, J. Korean Math. Soc. 21 (1984), no. 2, 109-120.
- M. H. Woo and K. Y. Lee, On the relative evaluation subgroups of a CW-pair, J. Korean Math. Soc. 25 (1988), no. 1, 149-160.
- M. H. Woo and K. Y. Lee, Exact G-sequences and relative G-pairs, J. Korean Math. Soc. 27 (1990), no. 2, 177-184.