Self-homotopy equivalences of Postnikov conjugates
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- by E. Dror, W. G. Dwyer and D. M. Kan PDF
- Proc. Amer. Math. Soc. 74 (1979), 183-186 Request permission
Abstract:
The purpose of this note is to generalize a result of Wilkerson [4] and show that the self homotopy equivalences of the Postnikov approximations of a space X determine, in a rather simple manner, simultaneously the self homotopy equivalences of X and the self homotopy equivalences of the Postnikov conjugates of X (i.e. the spaces with the same Postnikov approximations as X).References
- A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Mathematics, Vol. 304, Springer-Verlag, Berlin-New York, 1972. MR 0365573, DOI 10.1007/978-3-540-38117-4
- J. Peter May, Simplicial objects in algebraic topology, Van Nostrand Mathematical Studies, No. 11, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1967. MR 0222892
- Rainer M. Vogt, Homotopy limits and colimits, Math. Z. 134 (1973), 11–52. MR 331376, DOI 10.1007/BF01219090
- Clarence Wilkerson, Classification of spaces of the same $n$-type for all $n$, Proc. Amer. Math. Soc. 60 (1976), 279–285 (1977). MR 474283, DOI 10.1090/S0002-9939-1976-0474283-2
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 74 (1979), 183-186
- MSC: Primary 55P15; Secondary 55S35
- DOI: https://doi.org/10.1090/S0002-9939-1979-0521895-6
- MathSciNet review: 521895