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Generalized evaluation subgroups of product spaces relative to a factor
Author(s):
Kee
Young
Lee;
Moo
Ha
Woo
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2255-2260.
MSC (1991):
Primary 55P45
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Abstract:
For any -complexes and , we show that . We use this fact to compute generalized evaluation subgroups of generalized tori relative to a sphere.
References:
- 1.
- D. H. Gottlieb, A certain subgroup of the fundamental group, Amer. J. Math. 87 (1965), 840--856. MR 32:6454
- 2.
- ------, Evaluation subgroups of homotopy groups, Amer. J. Math. 91 (1969), 729--756. MR 43:1181
- 3.
- ------, Covering transformations and universal fibrations, Illinois J. Math.13(1969),432-437. MR 39:952
- 4.
- B. Gray, Homotopy Theory, Academic press, New York, 1975. MR 53:6528
- 5.
- G. E. Lang, Jr., Evaluation subgroups of factor spaces, Pacific J. Math. 42 (1972), 701--709. MR 47:2595
- 6.
- K.Y. Lee and M.H. Woo, G-sequences and
-homology of a -pair, Topology and its application 52 (1993), 221--236. MR 94i:55016 - 7.
- K.L. Lim, On cyclic maps, J. Austral. Math. Soc. Ser. A, 32 (1982), 349--357. MR 83e:55003
- 8.
- N. Oda, The homotopy set of the axes of pairings, Canad. J. Math. 42 (1990), 856--868.
- 9.
- J. Siegel, G-spaces, W-spaces and H-spaces, Pacific J. Math. 31 (1969), 209--214. MR 48:4950
- 10.
- K. Varadarajian, Generalized Gottlieb Groups, J. Indian Math. Soc. 33 (1969), 141--164. MR 43:6926
- 11.
- G. W. Whitehead, Elements of homotopy theory, Springer-Verlag, New York, 1978. MR 80b:55001
- 12.
- M. H. Woo and J. R. Kim, Certain subgroups of homotopy groups, J. of Korean Math. Soc. 21 (1984), 109--120. MR 86c:55014
- 13.
- M. H. Woo and K. Y. Lee, The relative evaluation subgroups of a CW-pair, J. of Korean Math. Soc. 25 (1988), 149--160. MR 89f:55011
- 14.
- ------, Homology and generalized evaluation subgroups of homotopy groups, J. of Korean Math. Soc. 25 (1988), 333--342. MR 89k:55026
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Additional Information:
Kee
Young
Lee
Affiliation:
Department of Mathematics, Taejon National University of Technology, Taejon 300, Korea
Moo
Ha
Woo
Affiliation:
Department of Mathematics Education, Korea University, Seoul 136, Korea
DOI:
10.1090/S0002-9939-96-03588-5
PII:
S 0002-9939(96)03588-5
Keywords:
Generalized evaluation subgroup,
$G$-sequence of the trivial fibration,
trivial fibration
Received by editor(s):
January 25, 1995
Additional Notes:
Partially supported by TGRC-KOSEF and BSRI 94-1409.
Communicated by:
Thomas Goodwillie
Copyright of article:
Copyright
1996,
American Mathematical Society
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