A Whitehead Theorem for Long Towers of Spaces T

نویسنده

  • W. G. DWYER
چکیده

We show that one can construct the universal R-homology isomorphism K ~ E~X of Bousfield [1] by a transfinite iteration of an elementary homology correction map. This correction map is essentially the same as the one used classically to define Adams spectral sequence. This yields a topological characterization of the class of local spaces as the smallest s containing K(A, n)'s and closed under homotopy inverse limfl.

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تاریخ انتشار 2007