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Categories of $ H$-spaces


Author: Pierre J. Malraison
Journal: Proc. Amer. Math. Soc. 42 (1974), 290-294
MSC: Primary 55D45
DOI: https://doi.org/10.1090/S0002-9939-1974-0328927-4
Erratum: Proc. Amer. Math. Soc. 46 (1974), 456.
MathSciNet review: 0328927
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Abstract | References | Similar Articles | Additional Information

Abstract: Fuchs' [1] category of H-spaces and homotopy classes of shm-maps is shown equivalent to a simpler category of fractions.


References [Enhancements On Off] (What's this?)

  • [1] Martin Fuchs, Verallgemeinerte Homotopie-Homomorphismen und Klassifizierende Räume, Math. Ann. 161 (1965), 197-230. MR 33 #3295. MR 0195090 (33:3295)
  • [2] Pierre Malraison, Highly homotopy associative categories and homotopy equivalences of categories, Ph.D. Thesis, Cornell Univ., 1972.
  • [3] -, Highly homotopy associative categories, (to appear).
  • [4] Heinrich Kleisli, Every standard construction is induced by a pair of adjoint functors, Proc. Amer. Math. Soc. 16 (1965), 544-546. MR 31 #1289. MR 0177024 (31:1289)
  • [5] Gabriel Pierre and S. Zisman, Calculus of fractions and homotopy theory, Ergebnisse der Math. und ihrer Grenzgebiete, Band 35, Springer-Verlag, New York, 1967. MR 35 #1019. MR 0213347 (35:4211)
  • [6] Daniel Quillen, Homotopical algebra, Lecture Notes in Math., no. 43, Springer-Verlag, New York and Berlin, 1967. MR 36 #6480. MR 0223432 (36:6480)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0328927-4
Keywords: H-spaces, shm-maps, equivalence of categories
Article copyright: © Copyright 1974 American Mathematical Society

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