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Homotopy equivalences in a principal fiber space. (English) Zbl 0139.16602


Keywords:

topology

References:

[1] Arkowitz, M., andC. R. Curjel: The group of homotopy equivalences of a space. Bull. Amer. Math. Soc.70, 293-296 (1964). · Zbl 0129.15401 · doi:10.1090/S0002-9904-1964-11131-9
[2] Barcus, W. D., andM. G. Barratt: On the homotopy classification of the extensions of a fixed map. Trans. Amer. Math. Soc.88, 57-74 (1958). · Zbl 0095.16801 · doi:10.1090/S0002-9947-1958-0097060-7
[3] Brown, E. H.: Cohomology theories. Ann. of Math.75, 467-484 (1962). · Zbl 0101.40603 · doi:10.2307/1970209
[4] ?: Abstract homotopy theory. A.M.S. Summer Topology Institute, Seattle 1963.
[5] Eckmann, B., andP. J. Hilton: Group-like structures in general categories II, equalizers, limits, lengths. Math. Ann.151, 150-186 (1963). · Zbl 0115.01403 · doi:10.1007/BF01344176
[6] Kahn, D. W.: The group of homotopy equivalences. Math. Z.84, 1-8 (1964). · Zbl 0129.38804 · doi:10.1007/BF01112204
[7] Maclane, S.: Homology. Berlin-Göttingen-Heidelberg: Springer 1963.
[8] Nomura, Y.: A generalization of suspension theorems. Nagoya Math. J.19, 159-167 (1961). · Zbl 0114.14501
[9] ?: An application of the path-space technique to the theory of triads. Nagoya Math. J.22, 169-188 (1963). · Zbl 0123.39702
[10] Peterson, F. P., andE. Thomas: A note on non-stable cohomology operations. Bol. Soc. Math. Mexicana3, 13-18 (1958). · Zbl 0121.39604
[11] Shih, W.: On the groupE[X] of homotopy equivalence maps. Bull. Amer. Math. Soc.70, 361-365 (1964). · Zbl 0129.38803 · doi:10.1090/S0002-9904-1964-11097-1
[12] Sugawara, M.: On the homotopy-commutativity of groups and loop spaces. Mem. Coll. Sci. Univ. Kyoto, Ser. A Math.33, 257-269 (1960). · Zbl 0113.16903
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