Pro-nilpotent representation of homology types
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- by Emmanuel Dror
- Proc. Amer. Math. Soc. 38 (1973), 657-660
- DOI: https://doi.org/10.1090/S0002-9939-1973-0314041-X
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Abstract:
The completion tower ${R_n}X$ defined by Bousfield and Kan is shown to preserve the homology with $R$-coefficients. This property of preserving $R$-homology characterizes the tower completely [4].References
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- A. K. Bousfield and D. M. Kan, Homotopy with respect to a ring, Algebraic topology (Proc. Sympos. Pure Math., Vol. XXII, Univ. Wisconsin, Madison, Wis., 1970) Amer. Math. Soc., Providence, R.I., 1971, pp. 59–64. MR 0326734
- 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
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 38 (1973), 657-660
- MSC: Primary 55D15
- DOI: https://doi.org/10.1090/S0002-9939-1973-0314041-X
- MathSciNet review: 0314041