A note on module homotopy and chain homotopy
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- by Keith Hardie and Peter Hilton PDF
- Proc. Amer. Math. Soc. 95 (1985), 662-664 Request permission
Abstract:
The Eckmann-Hilton (injective) homotopy category of modules over a ring $\Lambda$ is equivalent to a certain full subcategory of the cochain homotopy category of cochain complexes of modules over $\Lambda$.References
- Beno Eckmann, Homotopie et dualité, Colloque de topologie algébrique, Louvain, 1956, Georges Thone, Liège; Masson & Cie, Paris, 1957, pp. 41–53 (French). MR 0088726
- P. J. Hilton, Homotopy theory of modules and duality, Symposium internacional de topología algebraica International symposium on algebraic topology, Universidad Nacional Autónoma de México and UNESCO, Mexico City, 1958, pp. 273–281. MR 0098126
- Peter Hilton, Homotopy theory and duality, Gordon and Breach Science Publishers, New York-London-Paris, 1965. MR 0198466
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 662-664
- MSC: Primary 18G35; Secondary 18E10, 55U15, 55U35
- DOI: https://doi.org/10.1090/S0002-9939-1985-0810182-7
- MathSciNet review: 810182