On function spectra
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- by Harold M. Hastings PDF
- Proc. Amer. Math. Soc. 44 (1974), 186-188 Request permission
Abstract:
We construct an explicit internal mapping functor for the homotopy category of CW spectra; this, together with our earlier smash product, yields a symmetric monoidal closed category.References
-
J. F. Adams, Stable homotopy and generalized homology, notes by R. Ming, Univ. of Chicago Math Lecture Notes, 1971.
J. M. Boardman, Stable homotopy theory, Univ. of Warwick, 1965.
- Edgar H. Brown Jr., Cohomology theories, Ann. of Math. (2) 75 (1962), 467–484. MR 138104, DOI 10.2307/1970209
- Samuel Eilenberg and G. Max Kelly, Closed categories, Proc. Conf. Categorical Algebra (La Jolla, Calif., 1965) Springer, New York, 1966, pp. 421–562. MR 0225841
- Harold M. Hastings, A smash product for spectra, Bull. Amer. Math. Soc. 79 (1973), 946–951. MR 343257, DOI 10.1090/S0002-9904-1973-13272-0
- Alex Heller, Completions in abstract homotopy theory, Trans. Amer. Math. Soc. 147 (1970), 573–602. MR 258029, DOI 10.1090/S0002-9947-1970-0258029-8
- Daniel M. Kan, Semisimplicial spectra, Illinois J. Math. 7 (1963), 463–478. MR 153017
- N. E. Steenrod, A convenient category of topological spaces, Michigan Math. J. 14 (1967), 133–152. MR 210075
- Rainer Vogt, Boardman’s stable homotopy category, Lecture Notes Series, No. 21, Aarhus Universitet, Matematisk Institut, Aarhus, 1970. MR 0275431
- George W. Whitehead, Generalized homology theories, Trans. Amer. Math. Soc. 102 (1962), 227–283. MR 137117, DOI 10.1090/S0002-9947-1962-0137117-6
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 186-188
- MSC: Primary 55B20
- DOI: https://doi.org/10.1090/S0002-9939-1974-0343258-4
- MathSciNet review: 0343258