shm maps and conjugation
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- by Ming Jung Lee
- Proc. Amer. Math. Soc. 42 (1974), 614-620
- DOI: https://doi.org/10.1090/S0002-9939-1974-0331378-X
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Abstract:
We call two shm maps completely shm homotopic if one map is shm homotopic to a shm conjugation of the other. It is proved that there is a one-to-one correspondence between completely shm homotopy classes of shm maps on H-spaces and base point free homotopy classes of maps on their classifying spaces.References
- D. W. Anderson, Simplicial K-theory and generalized homology theories. I (preprint).
- Martin Fuchs, Verallgemeinerte Homotopie-Homomorphismen und klassifizierende Räume, Math. Ann. 161 (1965), 197–230 (German). MR 195090, DOI 10.1007/BF01361971
- Graeme Segal, Classifying spaces and spectral sequences, Inst. Hautes Études Sci. Publ. Math. 34 (1968), 105–112. MR 232393
- Edwin H. Spanier, Algebraic topology, McGraw-Hill Book Co., New York-Toronto-London, 1966. MR 0210112
- James D. Stasheff, $H$-spaces and classifying spaces: foundations and recent developments, Algebraic topology (Proc. Sympos. Pure Math., Vol. XXII, Univ. Wisconsin, Madison, Wis., 1970) Amer. Math. Soc., Providence, R.I., 1971, pp. 247–272. MR 0321079
- Masahiro Sugawara, On the homotopy-commutativity of groups and loop spaces, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 33 (1960/61), 257–269. MR 120645, DOI 10.1215/kjm/1250775911
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 614-620
- MSC: Primary 55D45
- DOI: https://doi.org/10.1090/S0002-9939-1974-0331378-X
- MathSciNet review: 0331378